Least Common Multiple of 177/26, 4945/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 177/26, 4945/976 quickly i.e. 875265/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/26, 4945/976 is 875265/2.

LCM(177/26, 4945/976) = 875265/2

LCM of 177/26, 4945/976

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 177/26,4945/976

Given numbers are 177/26,4945/976

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 177,4945

Least Common Multiple of Numerators i.e. LCM of 177,4945 is 875265.

GCF of Denominators means GCF of 26,976 as per the given fractions.

GCF of 26,976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,4945

LCM of Fractions 177/26,4945/976 is 875265/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 875265

Least Common Multiple of 177,4945 with GCF Formula

Least Common Multiple of 177,4945 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 177,4945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,4945) = 1

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

GCF(177,4945) x common factors =1 x 1 = 1

LCM(177,4945) = ( 177 × 4945 ) / 1

LCM(177,4945) = 875265 / 1

LCM(177,4945) = 875265


Lets's calculate GCF of 26,976

2 26, 976
13, 488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 875265/2

Therefore the LCM of Fractions 177/26,4945/976 is 875265/2

Greatest Common Factor of 26,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,976 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 26,976 . The biggest common factor number is the GCF number.
So the greatest common factor 26,976 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 177/26, 4945/976

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 177/26, 4945/976?

Answer: LCM of Numerators as per given numbers 177/26, 4945/976 is

LCM of Numerators i.e. for 177,4945 is 875265

GCF of denominators i.e. for 26,976 is 2.

Thus, LCM of Fractions is 875265/2.Finally, LCM of Fractions for 177/26, 4945/976 is 875265/2.