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 468, 312, 674 i.e. 315432 smallest integer divisible by all numbers.
Least common multiple (LCM) of 468, 312, 674 is 315432.
LCM(468, 312, 674) = 315432
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 468, 312, 674 |
2 | 234, 156, 337 |
3 | 117, 78, 337 |
13 | 39, 26, 337 |
3, 2, 337 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 3 x 2 x 337 = 315432
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 468,312,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,312,674) = 2
common factors(in case of two or more numbers have common factors) = 156
GCF(468,312,674) x common factors =2 x 156 = 312
LCM(468,312,674) = ( 468 × 312 × 674 ) / 312
LCM(468,312,674) = 98414784 / 312
LCM(468,312,674) = 315432
∴ Least Common Multiple of 468,312,674 is 315432
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 468, 312, 674?
Answer: LCM of 468, 312, 674 is 315432.
2. What are the Factors of 315432?
Answer: Factors of 315432 are . There are integers that are factors of 315432
3. How to Find the LCM of 468, 312, 674 ?
Least Common Multiple of 468, 312, 674.
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(468, 312, 674) = 2 x 2 x 2 x 3 x 3 x 13 x 337 = 315432.