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 524, 412, 524 i.e. 53972 smallest integer divisible by all numbers.
Least common multiple (LCM) of 524, 412, 524 is 53972.
LCM(524, 412, 524) = 53972
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 524, 412, 524 |
2 | 262, 206, 262 |
131 | 131, 103, 131 |
1, 103, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 131 x 1 x 103 x 1 = 53972
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 524,412,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,412,524) = 4
common factors(in case of two or more numbers have common factors) = 524
GCF(524,412,524) x common factors =4 x 524 = 2096
LCM(524,412,524) = ( 524 × 412 × 524 ) / 2096
LCM(524,412,524) = 113125312 / 2096
LCM(524,412,524) = 53972
∴ Least Common Multiple of 524,412,524 is 53972
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 412, 524?
Answer: LCM of 524, 412, 524 is 53972.
2. What are the Factors of 53972?
Answer: Factors of 53972 are . There are integers that are factors of 53972
3. How to Find the LCM of 524, 412, 524 ?
Least Common Multiple of 524, 412, 524.
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(524, 412, 524) = 2 x 2 x 103 x 131 = 53972.