Least Common Multiple of 7197/791, 5628/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7197/791, 5628/141 quickly i.e. 13501572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7197/791, 5628/141 is 13501572.

LCM(7197/791, 5628/141) = 13501572

LCM of 7197/791, 5628/141

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 7197/791,5628/141

Given numbers are 7197/791,5628/141

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 7197,5628

Least Common Multiple of Numerators i.e. LCM of 7197,5628 is 13501572.

GCF of Denominators means GCF of 791,141 as per the given fractions.

GCF of 791,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7197,5628

LCM of Fractions 7197/791,5628/141 is 13501572

3 7197, 5628
2399, 1876

∴ So the LCM of the given numbers is 3 x 2399 x 1876 = 13501572

Least Common Multiple of 7197,5628 with GCF Formula

Least Common Multiple of 7197,5628 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 7197,5628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7197,5628) = 3

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

GCF(7197,5628) x common factors =3 x 1 = 3

LCM(7197,5628) = ( 7197 × 5628 ) / 3

LCM(7197,5628) = 40504716 / 3

LCM(7197,5628) = 13501572


Lets's calculate GCF of 791,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13501572/1

Therefore the LCM of Fractions 7197/791,5628/141 is 13501572

Greatest Common Factor of 791,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,141 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 791,141 . The biggest common factor number is the GCF number.
So the greatest common factor 791,141 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7197/791, 5628/141

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 7197/791, 5628/141?

Answer: LCM of Numerators as per given numbers 7197/791, 5628/141 is

LCM of Numerators i.e. for 7197,5628 is 13501572

GCF of denominators i.e. for 791,141 is 1.

Thus, LCM of Fractions is 13501572.Finally, LCM of Fractions for 7197/791, 5628/141 is 13501572.