Least Common Multiple of 7342/949, 2913/1879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7342/949, 2913/1879 quickly i.e. 21387246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7342/949, 2913/1879 is 21387246.

LCM(7342/949, 2913/1879) = 21387246

LCM of 7342/949, 2913/1879

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 7342/949,2913/1879

Given numbers are 7342/949,2913/1879

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 7342,2913

Least Common Multiple of Numerators i.e. LCM of 7342,2913 is 21387246.

GCF of Denominators means GCF of 949,1879 as per the given fractions.

GCF of 949,1879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7342,2913

LCM of Fractions 7342/949,2913/1879 is 21387246

Given numbers has no common factors except 1. So, there LCM is their product i.e 21387246

Least Common Multiple of 7342,2913 with GCF Formula

Least Common Multiple of 7342,2913 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 7342,2913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7342,2913) = 1

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

GCF(7342,2913) x common factors =1 x 1 = 1

LCM(7342,2913) = ( 7342 × 2913 ) / 1

LCM(7342,2913) = 21387246 / 1

LCM(7342,2913) = 21387246


Lets's calculate GCF of 949,1879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21387246/1

Therefore the LCM of Fractions 7342/949,2913/1879 is 21387246

Greatest Common Factor of 949,1879 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,1879 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 1879

List of positive integer factors of 1879 that divides 1879 without a remainder.

1,1879

Greatest Common Factor

We found the factors 949,1879 . The biggest common factor number is the GCF number.
So the greatest common factor 949,1879 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 7342/949, 2913/1879

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 7342/949, 2913/1879?

Answer: LCM of Numerators as per given numbers 7342/949, 2913/1879 is

LCM of Numerators i.e. for 7342,2913 is 21387246

GCF of denominators i.e. for 949,1879 is 1.

Thus, LCM of Fractions is 21387246.Finally, LCM of Fractions for 7342/949, 2913/1879 is 21387246.