Least Common Multiple of 7109/491, 1208/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7109/491, 1208/742 quickly i.e. 8587672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7109/491, 1208/742 is 8587672.

LCM(7109/491, 1208/742) = 8587672

LCM of 7109/491, 1208/742

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 7109/491,1208/742

Given numbers are 7109/491,1208/742

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 7109,1208

Least Common Multiple of Numerators i.e. LCM of 7109,1208 is 8587672.

GCF of Denominators means GCF of 491,742 as per the given fractions.

GCF of 491,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7109,1208

LCM of Fractions 7109/491,1208/742 is 8587672

Given numbers has no common factors except 1. So, there LCM is their product i.e 8587672

Least Common Multiple of 7109,1208 with GCF Formula

Least Common Multiple of 7109,1208 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 7109,1208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7109,1208) = 1

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

GCF(7109,1208) x common factors =1 x 1 = 1

LCM(7109,1208) = ( 7109 × 1208 ) / 1

LCM(7109,1208) = 8587672 / 1

LCM(7109,1208) = 8587672


Lets's calculate GCF of 491,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8587672/1

Therefore the LCM of Fractions 7109/491,1208/742 is 8587672

Greatest Common Factor of 491,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,742 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 491,742 . The biggest common factor number is the GCF number.
So the greatest common factor 491,742 is 1.


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 7109/491, 1208/742

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 7109/491, 1208/742?

Answer: LCM of Numerators as per given numbers 7109/491, 1208/742 is

LCM of Numerators i.e. for 7109,1208 is 8587672

GCF of denominators i.e. for 491,742 is 1.

Thus, LCM of Fractions is 8587672.Finally, LCM of Fractions for 7109/491, 1208/742 is 8587672.