Least Common Multiple of 1347/742, 7158/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1347/742, 7158/107 quickly i.e. 3213942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1347/742, 7158/107 is 3213942.

LCM(1347/742, 7158/107) = 3213942

LCM of 1347/742, 7158/107

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 1347/742,7158/107

Given numbers are 1347/742,7158/107

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 1347,7158

Least Common Multiple of Numerators i.e. LCM of 1347,7158 is 3213942.

GCF of Denominators means GCF of 742,107 as per the given fractions.

GCF of 742,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1347,7158

LCM of Fractions 1347/742,7158/107 is 3213942

3 1347, 7158
449, 2386

∴ So the LCM of the given numbers is 3 x 449 x 2386 = 3213942

Least Common Multiple of 1347,7158 with GCF Formula

Least Common Multiple of 1347,7158 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 1347,7158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1347,7158) = 3

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

GCF(1347,7158) x common factors =3 x 1 = 3

LCM(1347,7158) = ( 1347 × 7158 ) / 3

LCM(1347,7158) = 9641826 / 3

LCM(1347,7158) = 3213942


Lets's calculate GCF of 742,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3213942/1

Therefore the LCM of Fractions 1347/742,7158/107 is 3213942

Greatest Common Factor of 742,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,107 By Matching Biggest Common Factor Method

Factors of 742

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

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

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 742,107 . The biggest common factor number is the GCF number.
So the greatest common factor 742,107 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 1347/742, 7158/107

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 1347/742, 7158/107?

Answer: LCM of Numerators as per given numbers 1347/742, 7158/107 is

LCM of Numerators i.e. for 1347,7158 is 3213942

GCF of denominators i.e. for 742,107 is 1.

Thus, LCM of Fractions is 3213942.Finally, LCM of Fractions for 1347/742, 7158/107 is 3213942.