Least Common Multiple of 268, 480, 864

Q: How to Find the LCM of 268, 480, 864 ?

Least Common Multiple of 268, 480, 864 = 289440 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(268, 480, 864) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 67 = 289440.

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 268, 480, 864 i.e. 289440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 268, 480, 864 is 289440.

LCM(268, 480, 864) = 289440

LCM of 268, 480, 864

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

Least Common Multiple of 268, 480, 864 by common division method
Least Common Multiple of 268, 480, 864 with GCF Formula

Least Common Multiple of 268,480,864

Least Common Multiple (LCM) of 268,480,864 is 289440

2	268, 480, 864
2	134, 240, 432
2	67, 120, 216
2	67, 60, 108
2	67, 30, 54
3	67, 15, 27
	67, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 67 x 5 x 9 = 289440

Least Common Multiple of 268,480,864 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 268,480,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,480,864) = 4

common factors(in case of two or more numbers have common factors) = 96

GCF(268,480,864) x common factors =4 x 96 = 384

LCM(268,480,864) = ( 268 × 480 × 864 ) / 384

LCM(268,480,864) = 111144960 / 384

LCM(268,480,864) = 289440

∴ Least Common Multiple of 268,480,864 is 289440

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 268, 480, 864

1. What is the LCM of 268, 480, 864?

Answer: LCM of 268, 480, 864 is 289440.

2. What are the Factors of 289440?

Answer: Factors of 289440 are . There are integers that are factors of 289440

3. How to Find the LCM of 268, 480, 864 ?

Least Common Multiple of 268, 480, 864.

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(268, 480, 864) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 67 = 289440.