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 520, 656, 465, 762, 762 i.e. 503621040 smallest integer divisible by all numbers.
Least common multiple (LCM) of 520, 656, 465, 762, 762 is 503621040.
LCM(520, 656, 465, 762, 762) = 503621040
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 520, 656, 465, 762, 762 |
2 | 260, 328, 465, 381, 381 |
2 | 130, 164, 465, 381, 381 |
3 | 65, 82, 465, 381, 381 |
5 | 65, 82, 155, 127, 127 |
127 | 13, 82, 31, 127, 127 |
13, 82, 31, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 127 x 13 x 82 x 31 x 1 x 1 = 503621040
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 520,656,465,762,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,656,465,762,762) = 1
common factors(in case of two or more numbers have common factors) = 182880
GCF(520,656,465,762,762) x common factors =1 x 182880 = 182880
LCM(520,656,465,762,762) = ( 520 × 656 × 465 × 762 × 762 ) / 182880
LCM(520,656,465,762,762) = 92102215795200 / 182880
LCM(520,656,465,762,762) = 503621040
∴ Least Common Multiple of 520,656,465,762,762 is 503621040
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 520, 656, 465, 762, 762?
Answer: LCM of 520, 656, 465, 762, 762 is 503621040.
2. What are the Factors of 503621040?
Answer: Factors of 503621040 are . There are integers that are factors of 503621040
3. How to Find the LCM of 520, 656, 465, 762, 762 ?
Least Common Multiple of 520, 656, 465, 762, 762.
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(520, 656, 465, 762, 762) = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 31 x 41 x 127 = 503621040.