Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 340, 674, 447, 102 i.e. 51217260 smallest integer divisible by all numbers.
Least common multiple (LCM) of 340, 674, 447, 102 is 51217260.
LCM(340, 674, 447, 102) = 51217260
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 340, 674, 447, 102 |
3 | 170, 337, 447, 51 |
17 | 170, 337, 149, 17 |
10, 337, 149, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 10 x 337 x 149 x 1 = 51217260
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 340,674,447,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,674,447,102) = 1
common factors(in case of two or more numbers have common factors) = 204
GCF(340,674,447,102) x common factors =1 x 204 = 204
LCM(340,674,447,102) = ( 340 × 674 × 447 × 102 ) / 204
LCM(340,674,447,102) = 10448321040 / 204
LCM(340,674,447,102) = 51217260
∴ Least Common Multiple of 340,674,447,102 is 51217260
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 340, 674, 447, 102?
Answer: LCM of 340, 674, 447, 102 is 51217260.
2. What are the Factors of 51217260?
Answer: Factors of 51217260 are . There are integers that are factors of 51217260
3. How to Find the LCM of 340, 674, 447, 102 ?
Least Common Multiple of 340, 674, 447, 102.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(340, 674, 447, 102) = 2 x 2 x 3 x 5 x 17 x 149 x 337 = 51217260.