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 536, 504, 375, 875, 539 i.e. 325017000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 536, 504, 375, 875, 539 is 325017000.
LCM(536, 504, 375, 875, 539) = 325017000
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 536, 504, 375, 875, 539 |
2 | 268, 252, 375, 875, 539 |
2 | 134, 126, 375, 875, 539 |
3 | 67, 63, 375, 875, 539 |
5 | 67, 21, 125, 875, 539 |
5 | 67, 21, 25, 175, 539 |
5 | 67, 21, 5, 35, 539 |
7 | 67, 21, 1, 7, 539 |
67, 3, 1, 1, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 67 x 3 x 1 x 1 x 77 = 325017000
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 536,504,375,875,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,504,375,875,539) = 1
common factors(in case of two or more numbers have common factors) = 147000
GCF(536,504,375,875,539) x common factors =1 x 147000 = 147000
LCM(536,504,375,875,539) = ( 536 × 504 × 375 × 875 × 539 ) / 147000
LCM(536,504,375,875,539) = 47777499000000 / 147000
LCM(536,504,375,875,539) = 325017000
∴ Least Common Multiple of 536,504,375,875,539 is 325017000
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 536, 504, 375, 875, 539?
Answer: LCM of 536, 504, 375, 875, 539 is 325017000.
2. What are the Factors of 325017000?
Answer: Factors of 325017000 are . There are integers that are factors of 325017000
3. How to Find the LCM of 536, 504, 375, 875, 539 ?
Least Common Multiple of 536, 504, 375, 875, 539.
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(536, 504, 375, 875, 539) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 7 x 11 x 67 = 325017000.