Least Common Multiple of 6736/200, 2491/7090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6736/200, 2491/7090 quickly i.e. 16779376/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6736/200, 2491/7090 is 16779376/10.

LCM(6736/200, 2491/7090) = 16779376/10

LCM of 6736/200, 2491/7090

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 6736/200,2491/7090

Given numbers are 6736/200,2491/7090

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 6736,2491

Least Common Multiple of Numerators i.e. LCM of 6736,2491 is 16779376.

GCF of Denominators means GCF of 200,7090 as per the given fractions.

GCF of 200,7090 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6736,2491

LCM of Fractions 6736/200,2491/7090 is 16779376/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 16779376

Least Common Multiple of 6736,2491 with GCF Formula

Least Common Multiple of 6736,2491 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 6736,2491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6736,2491) = 1

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

GCF(6736,2491) x common factors =1 x 1 = 1

LCM(6736,2491) = ( 6736 × 2491 ) / 1

LCM(6736,2491) = 16779376 / 1

LCM(6736,2491) = 16779376


Lets's calculate GCF of 200,7090

2 200, 7090
5 100, 3545
20, 709

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16779376/10

Therefore the LCM of Fractions 6736/200,2491/7090 is 16779376/10

Greatest Common Factor of 200,7090 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,7090 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1,2,5,10,709,1418,3545,7090

Greatest Common Factor

We found the factors 200,7090 . The biggest common factor number is the GCF number.
So the greatest common factor 200,7090 is 10.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6736/200, 2491/7090

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 6736/200, 2491/7090?

Answer: LCM of Numerators as per given numbers 6736/200, 2491/7090 is

LCM of Numerators i.e. for 6736,2491 is 16779376

GCF of denominators i.e. for 200,7090 is 10.

Thus, LCM of Fractions is 16779376/10.Finally, LCM of Fractions for 6736/200, 2491/7090 is 16779376/10.