Least Common Multiple of 7294/265, 6913/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7294/265, 6913/827 quickly i.e. 50423422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7294/265, 6913/827 is 50423422.

LCM(7294/265, 6913/827) = 50423422

LCM of 7294/265, 6913/827

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 7294/265,6913/827

Given numbers are 7294/265,6913/827

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 7294,6913

Least Common Multiple of Numerators i.e. LCM of 7294,6913 is 50423422.

GCF of Denominators means GCF of 265,827 as per the given fractions.

GCF of 265,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7294,6913

LCM of Fractions 7294/265,6913/827 is 50423422

Given numbers has no common factors except 1. So, there LCM is their product i.e 50423422

Least Common Multiple of 7294,6913 with GCF Formula

Least Common Multiple of 7294,6913 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 7294,6913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7294,6913) = 1

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

GCF(7294,6913) x common factors =1 x 1 = 1

LCM(7294,6913) = ( 7294 × 6913 ) / 1

LCM(7294,6913) = 50423422 / 1

LCM(7294,6913) = 50423422


Lets's calculate GCF of 265,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50423422/1

Therefore the LCM of Fractions 7294/265,6913/827 is 50423422

Greatest Common Factor of 265,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,827 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 265,827 . The biggest common factor number is the GCF number.
So the greatest common factor 265,827 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7294/265, 6913/827

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 7294/265, 6913/827?

Answer: LCM of Numerators as per given numbers 7294/265, 6913/827 is

LCM of Numerators i.e. for 7294,6913 is 50423422

GCF of denominators i.e. for 265,827 is 1.

Thus, LCM of Fractions is 50423422.Finally, LCM of Fractions for 7294/265, 6913/827 is 50423422.