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 531, 684, 722 i.e. 766764 smallest integer divisible by all numbers.
Least common multiple (LCM) of 531, 684, 722 is 766764.
LCM(531, 684, 722) = 766764
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 531, 684, 722 |
3 | 531, 342, 361 |
3 | 177, 114, 361 |
19 | 59, 38, 361 |
59, 2, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 59 x 2 x 19 = 766764
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 531,684,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,684,722) = 1
common factors(in case of two or more numbers have common factors) = 342
GCF(531,684,722) x common factors =1 x 342 = 342
LCM(531,684,722) = ( 531 × 684 × 722 ) / 342
LCM(531,684,722) = 262233288 / 342
LCM(531,684,722) = 766764
∴ Least Common Multiple of 531,684,722 is 766764
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 684, 722?
Answer: LCM of 531, 684, 722 is 766764.
2. What are the Factors of 766764?
Answer: Factors of 766764 are . There are integers that are factors of 766764
3. How to Find the LCM of 531, 684, 722 ?
Least Common Multiple of 531, 684, 722.
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(531, 684, 722) = 2 x 2 x 3 x 3 x 19 x 19 x 59 = 766764.