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 515, 612, 474, 760, 264 i.e. 10407873960 smallest integer divisible by all numbers.
Least common multiple (LCM) of 515, 612, 474, 760, 264 is 10407873960.
LCM(515, 612, 474, 760, 264) = 10407873960
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 515, 612, 474, 760, 264 |
2 | 515, 306, 237, 380, 132 |
2 | 515, 153, 237, 190, 66 |
3 | 515, 153, 237, 95, 33 |
5 | 515, 51, 79, 95, 11 |
103, 51, 79, 19, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 103 x 51 x 79 x 19 x 11 = 10407873960
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 515,612,474,760,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,612,474,760,264) = 1
common factors(in case of two or more numbers have common factors) = 2880
GCF(515,612,474,760,264) x common factors =1 x 2880 = 2880
LCM(515,612,474,760,264) = ( 515 × 612 × 474 × 760 × 264 ) / 2880
LCM(515,612,474,760,264) = 29974677004800 / 2880
LCM(515,612,474,760,264) = 10407873960
∴ Least Common Multiple of 515,612,474,760,264 is 10407873960
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 515, 612, 474, 760, 264?
Answer: LCM of 515, 612, 474, 760, 264 is 10407873960.
2. What are the Factors of 10407873960?
Answer: Factors of 10407873960 are . There are integers that are factors of 10407873960
3. How to Find the LCM of 515, 612, 474, 760, 264 ?
Least Common Multiple of 515, 612, 474, 760, 264.
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(515, 612, 474, 760, 264) = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 19 x 79 x 103 = 10407873960.