Least Common Multiple of 48, 45, 24, 811

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 48, 45, 24, 811 i.e. 583920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 48, 45, 24, 811 is 583920.

LCM(48, 45, 24, 811) = 583920

LCM of 48, 45, 24, 811

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

LCM of:

Least Common Multiple of 48,45,24,811

Least Common Multiple (LCM) of 48,45,24,811 is 583920

2 48, 45, 24, 811
2 24, 45, 12, 811
2 6, 45, 12, 811
3 3, 45, 6, 811
1, 15, 2, 811

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 15 x 2 x 811 = 583920

Least Common Multiple of 48,45,24,811 with GCF Formula

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 48,45,24,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,45,24,811) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(48,45,24,811) x common factors =1 x 72 = 72

LCM(48,45,24,811) = ( 48 × 45 × 24 × 811 ) / 72

LCM(48,45,24,811) = 42042240 / 72

LCM(48,45,24,811) = 583920

∴ Least Common Multiple of 48,45,24,811 is 583920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 48, 45, 24, 811

1. What is the LCM of 48, 45, 24, 811?

Answer: LCM of 48, 45, 24, 811 is 583920.

2. What are the Factors of 583920?

Answer: Factors of 583920 are . There are integers that are factors of 583920

3. How to Find the LCM of 48, 45, 24, 811 ?

Least Common Multiple of 48, 45, 24, 811.

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(48, 45, 24, 811) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 811 = 583920.