Least Common Multiple of 217, 5760

Q: How to Find the LCM of 217, 5760 ?

Least Common Multiple of 217, 5760 = 1249920 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(217, 5760) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 = 1249920.

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 217, 5760 i.e. 1249920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 217, 5760 is 1249920.

LCM(217, 5760) = 1249920

LCM of 217, 5760

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

Least Common Multiple of 217, 5760 by common division method
Least Common Multiple of 217, 5760 with GCF Formula

Least Common Multiple of 217,5760

Least Common Multiple (LCM) of 217,5760 is 1249920

Given numbers has no common factors except 1. So, there LCM is their product i.e 1249920

Least Common Multiple of 217,5760 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 217,5760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,5760) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(217,5760) x common factors =1 x 1 = 1

LCM(217,5760) = ( 217 × 5760 ) / 1

LCM(217,5760) = 1249920 / 1

LCM(217,5760) = 1249920

∴ Least Common Multiple of 217,5760 is 1249920

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 217, 5760

1. What is the LCM of 217, 5760?

Answer: LCM of 217, 5760 is 1249920.

2. What are the Factors of 1249920?

Answer: Factors of 1249920 are . There are integers that are factors of 1249920

3. How to Find the LCM of 217, 5760 ?

Least Common Multiple of 217, 5760.

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(217, 5760) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 = 1249920.