Least Common Multiple of 44/48, 52/40, 263/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/48, 52/40, 263/847 quickly i.e. 150436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/48, 52/40, 263/847 is 150436.

LCM(44/48, 52/40, 263/847) = 150436

LCM of 44/48, 52/40, 263/847

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 44/48,52/40,263/847

Given numbers are 44/48,52/40,263/847

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 44,52,263

Least Common Multiple of Numerators i.e. LCM of 44,52,263 is 150436.

GCF of Denominators means GCF of 48,40,847 as per the given fractions.

GCF of 48,40,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,52,263

LCM of Fractions 44/48,52/40,263/847 is 150436

2 44, 52, 263
2 22, 26, 263
11, 13, 263

∴ So the LCM of the given numbers is 2 x 2 x 11 x 13 x 263 = 150436

Least Common Multiple of 44,52,263 with GCF Formula

Least Common Multiple of 44,52,263 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 44,52,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,52,263) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,52,263) x common factors =1 x 4 = 4

LCM(44,52,263) = ( 44 × 52 × 263 ) / 4

LCM(44,52,263) = 601744 / 4

LCM(44,52,263) = 150436


Lets's calculate GCF of 48,40,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150436/1

Therefore the LCM of Fractions 44/48,52/40,263/847 is 150436

Greatest Common Factor of 48,40,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,40,847 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 48,40,847 . The biggest common factor number is the GCF number.
So the greatest common factor 48,40,847 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/48, 52/40, 263/847

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 44/48, 52/40, 263/847?

Answer: LCM of Numerators as per given numbers 44/48, 52/40, 263/847 is

LCM of Numerators i.e. for 44,52,263 is 150436

GCF of denominators i.e. for 48,40,847 is 1.

Thus, LCM of Fractions is 150436.Finally, LCM of Fractions for 44/48, 52/40, 263/847 is 150436.