Multiples of #2# are #{2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,...}# Multiples of #3# are #{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,..}# Multiples of #7# are #{7,14,21,28,35,42,49,56,...}# Common multiples are #{42,...}# Least Common Multiple is #42#. What is the Least Common Multiple (LCM) of 3, 7, and 21? Here we will show you step-by-step how to find the Least Common Multiple of 3, 7, and 21. Step 1) First we find and list the prime factors of 3, 7, and 21 (Prime Factorization): Prime Factors of 3: Prime Factors of 7: Prime Factors of 21: 3, 7 Step 3) Finally, we multiply the prime numbers from Step 2 together. 3 x 7 = 21 That's it. The Least Common Multiple (LCM) of 3, 7, and 21 is 21. Least Common Multiple Calculator Least Common Multiple (LCM) of 3, 7, and 22 Copyright | Privacy Policy | Disclaimer | Contact What is the Least Common Multiple (LCM) of 3, 7, and 13? Here we will show you step-by-step how to find the Least Common Multiple of 3, 7, and 13. Step 1) First we find and list the prime factors of 3, 7, and 13 (Prime Factorization): Prime Factors of 3: Prime Factors of 7: Prime Factors of 13: 3, 7, 13 Step 3) Finally, we multiply the prime numbers from Step 2 together. 3 x 7 x 13 = 273 That's it. The Least Common Multiple (LCM) of 3, 7, and 13 is 273. Least Common Multiple Calculator Least Common Multiple (LCM) of 3, 7, and 14 Copyright | Privacy Policy | Disclaimer | Contact Least common multiple can be found by multiplying the highest exponent prime factors of 3 and 7. First we will calculate the prime factors of 3 and 7. Prime Factorization of 3 Prime factors of 3 are 3. Prime factorization of 3 in exponential form is: 3 = 31 Prime Factorization of 7 Prime factors of 7 are 7. Prime factorization of 7 in exponential form is: 7 = 71 Now multiplying the highest exponent prime factors to calculate the LCM of 3 and 7. LCM(3,7) = 31×71 Factors of 3 List of positive integer factors of 3 that divides 3 without a remainder. 1, 3 Factors of 7 List of positive integer factors of 7 that divides 7 without a remainder. 1, 7 The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b). GCF(3,7) = 1 (i) The LCM of 7 and 3 is associative LCM of 3 and 7 = LCM of 7 and 3 1. What is the LCM of 3 and 7? Answer: LCM of 3 and 7 is 21. 2. What are the Factors of 3? Answer: Factors of 3 are 1, 3. There are 2 integers that are factors of 3. The greatest factor of 3 is 3. 3. What are the Factors of 7? Answer: Factors of 7 are 1, 7. There are 2 integers that are factors of 7. The greatest factor of 7 is 7. 4. How to Find the LCM of 3 and 7? Answer: Least Common Multiple of 3 and 7 = 21 Step 1: Find the prime factorization of 3 3 = 3 Step 2: Find the prime factorization of 7 7 = 7 Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm: LCM = 21 = 3 x 7 Step 4: Therefore, the least common multiple of 3 and 7 is 21. |