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 100, 304, 420, 725, 689 i.e. 3188967600 smallest integer divisible by all numbers.
Least common multiple (LCM) of 100, 304, 420, 725, 689 is 3188967600.
LCM(100, 304, 420, 725, 689) = 3188967600
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 100, 304, 420, 725, 689 |
2 | 50, 152, 210, 725, 689 |
5 | 25, 76, 105, 725, 689 |
5 | 5, 76, 21, 145, 689 |
1, 76, 21, 29, 689 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 76 x 21 x 29 x 689 = 3188967600
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 100,304,420,725,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,304,420,725,689) = 1
common factors(in case of two or more numbers have common factors) = 2000
GCF(100,304,420,725,689) x common factors =1 x 2000 = 2000
LCM(100,304,420,725,689) = ( 100 × 304 × 420 × 725 × 689 ) / 2000
LCM(100,304,420,725,689) = 6377935200000 / 2000
LCM(100,304,420,725,689) = 3188967600
∴ Least Common Multiple of 100,304,420,725,689 is 3188967600
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 100, 304, 420, 725, 689?
Answer: LCM of 100, 304, 420, 725, 689 is 3188967600.
2. What are the Factors of 3188967600?
Answer: Factors of 3188967600 are . There are integers that are factors of 3188967600
3. How to Find the LCM of 100, 304, 420, 725, 689 ?
Least Common Multiple of 100, 304, 420, 725, 689.
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(100, 304, 420, 725, 689) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 x 19 x 29 x 53 = 3188967600.