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 75, 294, 516 i.e. 632100 smallest integer divisible by all numbers.
Least common multiple (LCM) of 75, 294, 516 is 632100.
LCM(75, 294, 516) = 632100
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 75, 294, 516 |
3 | 75, 147, 258 |
25, 49, 86 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 49 x 86 = 632100
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 75,294,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,294,516) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(75,294,516) x common factors =3 x 6 = 18
LCM(75,294,516) = ( 75 × 294 × 516 ) / 18
LCM(75,294,516) = 11377800 / 18
LCM(75,294,516) = 632100
∴ Least Common Multiple of 75,294,516 is 632100
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 75, 294, 516?
Answer: LCM of 75, 294, 516 is 632100.
2. What are the Factors of 632100?
Answer: Factors of 632100 are . There are integers that are factors of 632100
3. How to Find the LCM of 75, 294, 516 ?
Least Common Multiple of 75, 294, 516.
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(75, 294, 516) = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 43 = 632100.