Least Common Multiple of 4796/608, 4927/5376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4796/608, 4927/5376 quickly i.e. 23629892/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4796/608, 4927/5376 is 23629892/32.

LCM(4796/608, 4927/5376) = 23629892/32

LCM of 4796/608, 4927/5376

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 4796/608,4927/5376

Given numbers are 4796/608,4927/5376

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 4796,4927

Least Common Multiple of Numerators i.e. LCM of 4796,4927 is 23629892.

GCF of Denominators means GCF of 608,5376 as per the given fractions.

GCF of 608,5376 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4796,4927

LCM of Fractions 4796/608,4927/5376 is 23629892/32

Given numbers has no common factors except 1. So, there LCM is their product i.e 23629892

Least Common Multiple of 4796,4927 with GCF Formula

Least Common Multiple of 4796,4927 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 4796,4927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4796,4927) = 1

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

GCF(4796,4927) x common factors =1 x 1 = 1

LCM(4796,4927) = ( 4796 × 4927 ) / 1

LCM(4796,4927) = 23629892 / 1

LCM(4796,4927) = 23629892


Lets's calculate GCF of 608,5376

2 608, 5376
2 304, 2688
2 152, 1344
2 76, 672
2 38, 336
19, 168

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23629892/32

Therefore the LCM of Fractions 4796/608,4927/5376 is 23629892/32

Greatest Common Factor of 608,5376 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,5376 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 5376

List of positive integer factors of 5376 that divides 5376 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376

Greatest Common Factor

We found the factors 608,5376 . The biggest common factor number is the GCF number.
So the greatest common factor 608,5376 is 32.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4796/608, 4927/5376

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 4796/608, 4927/5376?

Answer: LCM of Numerators as per given numbers 4796/608, 4927/5376 is

LCM of Numerators i.e. for 4796,4927 is 23629892

GCF of denominators i.e. for 608,5376 is 32.

Thus, LCM of Fractions is 23629892/32.Finally, LCM of Fractions for 4796/608, 4927/5376 is 23629892/32.