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 680, 500, 272 i.e. 34000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 680, 500, 272 is 34000.
LCM(680, 500, 272) = 34000
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 680, 500, 272 |
2 | 340, 250, 136 |
2 | 170, 125, 68 |
5 | 85, 125, 34 |
17 | 17, 25, 34 |
1, 25, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 17 x 1 x 25 x 2 = 34000
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 680,500,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,500,272) = 4
common factors(in case of two or more numbers have common factors) = 680
GCF(680,500,272) x common factors =4 x 680 = 2720
LCM(680,500,272) = ( 680 × 500 × 272 ) / 2720
LCM(680,500,272) = 92480000 / 2720
LCM(680,500,272) = 34000
∴ Least Common Multiple of 680,500,272 is 34000
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 680, 500, 272?
Answer: LCM of 680, 500, 272 is 34000.
2. What are the Factors of 34000?
Answer: Factors of 34000 are . There are integers that are factors of 34000
3. How to Find the LCM of 680, 500, 272 ?
Least Common Multiple of 680, 500, 272.
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(680, 500, 272) = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 17 = 34000.