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 970, 915, 460, 511, 660 i.e. 45898050660 smallest integer divisible by all numbers.
Least common multiple (LCM) of 970, 915, 460, 511, 660 is 45898050660.
LCM(970, 915, 460, 511, 660) = 45898050660
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 970, 915, 460, 511, 660 |
2 | 485, 915, 230, 511, 330 |
3 | 485, 915, 115, 511, 165 |
5 | 485, 305, 115, 511, 55 |
97, 61, 23, 511, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 97 x 61 x 23 x 511 x 11 = 45898050660
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 970,915,460,511,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,915,460,511,660) = 1
common factors(in case of two or more numbers have common factors) = 3000
GCF(970,915,460,511,660) x common factors =1 x 3000 = 3000
LCM(970,915,460,511,660) = ( 970 × 915 × 460 × 511 × 660 ) / 3000
LCM(970,915,460,511,660) = 137694151980000 / 3000
LCM(970,915,460,511,660) = 45898050660
∴ Least Common Multiple of 970,915,460,511,660 is 45898050660
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 915, 460, 511, 660?
Answer: LCM of 970, 915, 460, 511, 660 is 45898050660.
2. What are the Factors of 45898050660?
Answer: Factors of 45898050660 are . There are integers that are factors of 45898050660
3. How to Find the LCM of 970, 915, 460, 511, 660 ?
Least Common Multiple of 970, 915, 460, 511, 660.
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(970, 915, 460, 511, 660) = 2 x 2 x 3 x 5 x 7 x 11 x 23 x 61 x 73 x 97 = 45898050660.