Least Common Multiple of 742/97, 179/4748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 742/97, 179/4748 quickly i.e. 132818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/97, 179/4748 is 132818.

LCM(742/97, 179/4748) = 132818

LCM of 742/97, 179/4748

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 742/97,179/4748

Given numbers are 742/97,179/4748

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 742,179

Least Common Multiple of Numerators i.e. LCM of 742,179 is 132818.

GCF of Denominators means GCF of 97,4748 as per the given fractions.

GCF of 97,4748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,179

LCM of Fractions 742/97,179/4748 is 132818

Given numbers has no common factors except 1. So, there LCM is their product i.e 132818

Least Common Multiple of 742,179 with GCF Formula

Least Common Multiple of 742,179 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 742,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,179) = 1

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

GCF(742,179) x common factors =1 x 1 = 1

LCM(742,179) = ( 742 × 179 ) / 1

LCM(742,179) = 132818 / 1

LCM(742,179) = 132818


Lets's calculate GCF of 97,4748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132818/1

Therefore the LCM of Fractions 742/97,179/4748 is 132818

Greatest Common Factor of 97,4748 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,4748 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 4748

List of positive integer factors of 4748 that divides 4748 without a remainder.

1,2,4,1187,2374,4748

Greatest Common Factor

We found the factors 97,4748 . The biggest common factor number is the GCF number.
So the greatest common factor 97,4748 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 742/97, 179/4748

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 742/97, 179/4748?

Answer: LCM of Numerators as per given numbers 742/97, 179/4748 is

LCM of Numerators i.e. for 742,179 is 132818

GCF of denominators i.e. for 97,4748 is 1.

Thus, LCM of Fractions is 132818.Finally, LCM of Fractions for 742/97, 179/4748 is 132818.