Least Common Multiple of 466/276, 5726/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/276, 5726/408 quickly i.e. 1334158/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/276, 5726/408 is 1334158/12.

LCM(466/276, 5726/408) = 1334158/12

LCM of 466/276, 5726/408

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 466/276,5726/408

Given numbers are 466/276,5726/408

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 466,5726

Least Common Multiple of Numerators i.e. LCM of 466,5726 is 1334158.

GCF of Denominators means GCF of 276,408 as per the given fractions.

GCF of 276,408 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,5726

LCM of Fractions 466/276,5726/408 is 1334158/12

2 466, 5726
233, 2863

∴ So the LCM of the given numbers is 2 x 233 x 2863 = 1334158

Least Common Multiple of 466,5726 with GCF Formula

Least Common Multiple of 466,5726 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 466,5726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,5726) = 2

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

GCF(466,5726) x common factors =2 x 1 = 2

LCM(466,5726) = ( 466 × 5726 ) / 2

LCM(466,5726) = 2668316 / 2

LCM(466,5726) = 1334158


Lets's calculate GCF of 276,408

2 276, 408
2 138, 204
3 69, 102
23, 34

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1334158/12

Therefore the LCM of Fractions 466/276,5726/408 is 1334158/12

Greatest Common Factor of 276,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,408 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 276,408 . The biggest common factor number is the GCF number.
So the greatest common factor 276,408 is 12.


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 466/276, 5726/408

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 466/276, 5726/408?

Answer: LCM of Numerators as per given numbers 466/276, 5726/408 is

LCM of Numerators i.e. for 466,5726 is 1334158

GCF of denominators i.e. for 276,408 is 12.

Thus, LCM of Fractions is 1334158/12.Finally, LCM of Fractions for 466/276, 5726/408 is 1334158/12.