Least Common Multiple of 7867/956, 3523/6492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7867/956, 3523/6492 quickly i.e. 27715441/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7867/956, 3523/6492 is 27715441/4.

LCM(7867/956, 3523/6492) = 27715441/4

LCM of 7867/956, 3523/6492

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 7867/956,3523/6492

Given numbers are 7867/956,3523/6492

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 7867,3523

Least Common Multiple of Numerators i.e. LCM of 7867,3523 is 27715441.

GCF of Denominators means GCF of 956,6492 as per the given fractions.

GCF of 956,6492 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7867,3523

LCM of Fractions 7867/956,3523/6492 is 27715441/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 27715441

Least Common Multiple of 7867,3523 with GCF Formula

Least Common Multiple of 7867,3523 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 7867,3523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7867,3523) = 1

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

GCF(7867,3523) x common factors =1 x 1 = 1

LCM(7867,3523) = ( 7867 × 3523 ) / 1

LCM(7867,3523) = 27715441 / 1

LCM(7867,3523) = 27715441


Lets's calculate GCF of 956,6492

2 956, 6492
2 478, 3246
239, 1623

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27715441/4

Therefore the LCM of Fractions 7867/956,3523/6492 is 27715441/4

Greatest Common Factor of 956,6492 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,6492 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 6492

List of positive integer factors of 6492 that divides 6492 without a remainder.

1,2,3,4,6,12,541,1082,1623,2164,3246,6492

Greatest Common Factor

We found the factors 956,6492 . The biggest common factor number is the GCF number.
So the greatest common factor 956,6492 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7867/956, 3523/6492

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 7867/956, 3523/6492?

Answer: LCM of Numerators as per given numbers 7867/956, 3523/6492 is

LCM of Numerators i.e. for 7867,3523 is 27715441

GCF of denominators i.e. for 956,6492 is 4.

Thus, LCM of Fractions is 27715441/4.Finally, LCM of Fractions for 7867/956, 3523/6492 is 27715441/4.