Least Common Multiple of 576/267, 672/496, 274/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/267, 672/496, 274/981 quickly i.e. 552384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/267, 672/496, 274/981 is 552384.

LCM(576/267, 672/496, 274/981) = 552384

LCM of 576/267, 672/496, 274/981

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 576/267,672/496,274/981

Given numbers are 576/267,672/496,274/981

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 576,672,274

Least Common Multiple of Numerators i.e. LCM of 576,672,274 is 552384.

GCF of Denominators means GCF of 267,496,981 as per the given fractions.

GCF of 267,496,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,672,274

LCM of Fractions 576/267,672/496,274/981 is 552384

2 576, 672, 274
2 288, 336, 137
2 144, 168, 137
2 72, 84, 137
2 36, 42, 137
3 18, 21, 137
6, 7, 137

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 6 x 7 x 137 = 552384

Least Common Multiple of 576,672,274 with GCF Formula

Least Common Multiple of 576,672,274 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 576,672,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,672,274) = 2

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

GCF(576,672,274) x common factors =2 x 96 = 192

LCM(576,672,274) = ( 576 × 672 × 274 ) / 192

LCM(576,672,274) = 106057728 / 192

LCM(576,672,274) = 552384


Lets's calculate GCF of 267,496,981

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 552384/1

Therefore the LCM of Fractions 576/267,672/496,274/981 is 552384

Greatest Common Factor of 267,496,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,496,981 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 267,496,981 . The biggest common factor number is the GCF number.
So the greatest common factor 267,496,981 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 576/267, 672/496, 274/981

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 576/267, 672/496, 274/981?

Answer: LCM of Numerators as per given numbers 576/267, 672/496, 274/981 is

LCM of Numerators i.e. for 576,672,274 is 552384

GCF of denominators i.e. for 267,496,981 is 1.

Thus, LCM of Fractions is 552384.Finally, LCM of Fractions for 576/267, 672/496, 274/981 is 552384.