Least Common Multiple of 7120/641, 9410/2691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7120/641, 9410/2691 quickly i.e. 6699920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7120/641, 9410/2691 is 6699920.

LCM(7120/641, 9410/2691) = 6699920

LCM of 7120/641, 9410/2691

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 7120/641,9410/2691

Given numbers are 7120/641,9410/2691

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 7120,9410

Least Common Multiple of Numerators i.e. LCM of 7120,9410 is 6699920.

GCF of Denominators means GCF of 641,2691 as per the given fractions.

GCF of 641,2691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7120,9410

LCM of Fractions 7120/641,9410/2691 is 6699920

2 7120, 9410
5 3560, 4705
712, 941

∴ So the LCM of the given numbers is 2 x 5 x 712 x 941 = 6699920

Least Common Multiple of 7120,9410 with GCF Formula

Least Common Multiple of 7120,9410 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 7120,9410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7120,9410) = 10

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

GCF(7120,9410) x common factors =10 x 1 = 10

LCM(7120,9410) = ( 7120 × 9410 ) / 10

LCM(7120,9410) = 66999200 / 10

LCM(7120,9410) = 6699920


Lets's calculate GCF of 641,2691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6699920/1

Therefore the LCM of Fractions 7120/641,9410/2691 is 6699920

Greatest Common Factor of 641,2691 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,2691 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 2691

List of positive integer factors of 2691 that divides 2691 without a remainder.

1,3,9,13,23,39,69,117,207,299,897,2691

Greatest Common Factor

We found the factors 641,2691 . The biggest common factor number is the GCF number.
So the greatest common factor 641,2691 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7120/641, 9410/2691

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 7120/641, 9410/2691?

Answer: LCM of Numerators as per given numbers 7120/641, 9410/2691 is

LCM of Numerators i.e. for 7120,9410 is 6699920

GCF of denominators i.e. for 641,2691 is 1.

Thus, LCM of Fractions is 6699920.Finally, LCM of Fractions for 7120/641, 9410/2691 is 6699920.