Least Common Multiple of 480, 996, 928, 605, 315

Q: How to Find the LCM of 480, 996, 928, 605, 315 ?

Least Common Multiple of 480, 996, 928, 605, 315 = 2935769760 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(480, 996, 928, 605, 315) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 11 x 29 x 83 = 2935769760.

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 480, 996, 928, 605, 315 i.e. 2935769760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 996, 928, 605, 315 is 2935769760.

LCM(480, 996, 928, 605, 315) = 2935769760

LCM of 480, 996, 928, 605, 315

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 480, 996, 928, 605, 315 by common division method
Least Common Multiple of 480, 996, 928, 605, 315 with GCF Formula

Least Common Multiple of 480,996,928,605,315

Least Common Multiple (LCM) of 480,996,928,605,315 is 2935769760

2	480, 996, 928, 605, 315
2	240, 498, 464, 605, 315
2	120, 249, 232, 605, 315
2	60, 249, 116, 605, 315
2	30, 249, 58, 605, 315
3	15, 249, 29, 605, 315
5	5, 83, 29, 605, 105
	1, 83, 29, 121, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 83 x 29 x 121 x 21 = 2935769760

Least Common Multiple of 480,996,928,605,315 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 480,996,928,605,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,996,928,605,315) = 1

common factors(in case of two or more numbers have common factors) = 28800

GCF(480,996,928,605,315) x common factors =1 x 28800 = 28800

LCM(480,996,928,605,315) = ( 480 × 996 × 928 × 605 × 315 ) / 28800

LCM(480,996,928,605,315) = 84550169088000 / 28800

LCM(480,996,928,605,315) = 2935769760

∴ Least Common Multiple of 480,996,928,605,315 is 2935769760

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 480, 996, 928, 605, 315

1. What is the LCM of 480, 996, 928, 605, 315?

Answer: LCM of 480, 996, 928, 605, 315 is 2935769760.

2. What are the Factors of 2935769760?

Answer: Factors of 2935769760 are . There are integers that are factors of 2935769760

3. How to Find the LCM of 480, 996, 928, 605, 315 ?

Least Common Multiple of 480, 996, 928, 605, 315.

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(480, 996, 928, 605, 315) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 11 x 29 x 83 = 2935769760.