Least Common Multiple of 47/356, 22/379, 259/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/356, 22/379, 259/572 quickly i.e. 267806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/356, 22/379, 259/572 is 267806.

LCM(47/356, 22/379, 259/572) = 267806

LCM of 47/356, 22/379, 259/572

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 47/356,22/379,259/572

Given numbers are 47/356,22/379,259/572

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 47,22,259

Least Common Multiple of Numerators i.e. LCM of 47,22,259 is 267806.

GCF of Denominators means GCF of 356,379,572 as per the given fractions.

GCF of 356,379,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,22,259

LCM of Fractions 47/356,22/379,259/572 is 267806

Given numbers has no common factors except 1. So, there LCM is their product i.e 267806

Least Common Multiple of 47,22,259 with GCF Formula

Least Common Multiple of 47,22,259 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 47,22,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,22,259) = 1

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

GCF(47,22,259) x common factors =1 x 1 = 1

LCM(47,22,259) = ( 47 × 22 × 259 ) / 1

LCM(47,22,259) = 267806 / 1

LCM(47,22,259) = 267806


Lets's calculate GCF of 356,379,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267806/1

Therefore the LCM of Fractions 47/356,22/379,259/572 is 267806

Greatest Common Factor of 356,379,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,379,572 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 356,379,572 . The biggest common factor number is the GCF number.
So the greatest common factor 356,379,572 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/356, 22/379, 259/572

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 47/356, 22/379, 259/572?

Answer: LCM of Numerators as per given numbers 47/356, 22/379, 259/572 is

LCM of Numerators i.e. for 47,22,259 is 267806

GCF of denominators i.e. for 356,379,572 is 1.

Thus, LCM of Fractions is 267806.Finally, LCM of Fractions for 47/356, 22/379, 259/572 is 267806.