Least Common Multiple of 2342/626, 2356/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2342/626, 2356/420 quickly i.e. 1379438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2342/626, 2356/420 is 1379438.

LCM(2342/626, 2356/420) = 1379438

LCM of 2342/626, 2356/420

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 2342/626,2356/420

Given numbers are 2342/626,2356/420

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 2342,2356

Least Common Multiple of Numerators i.e. LCM of 2342,2356 is 2758876.

GCF of Denominators means GCF of 626,420 as per the given fractions.

GCF of 626,420 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2342,2356

LCM of Fractions 2342/626,2356/420 is 1379438

2 2342, 2356
1171, 1178

∴ So the LCM of the given numbers is 2 x 1171 x 1178 = 2758876

Least Common Multiple of 2342,2356 with GCF Formula

Least Common Multiple of 2342,2356 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 2342,2356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2342,2356) = 2

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

GCF(2342,2356) x common factors =2 x 1 = 2

LCM(2342,2356) = ( 2342 × 2356 ) / 2

LCM(2342,2356) = 5517752 / 2

LCM(2342,2356) = 2758876


Lets's calculate GCF of 626,420

2 626, 420
313, 210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2758876/2

Therefore the LCM of Fractions 2342/626,2356/420 is 1379438

Greatest Common Factor of 626,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,420 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 626,420 . The biggest common factor number is the GCF number.
So the greatest common factor 626,420 is 2.


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 2342/626, 2356/420

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 2342/626, 2356/420?

Answer: LCM of Numerators as per given numbers 2342/626, 2356/420 is

LCM of Numerators i.e. for 2342,2356 is 2758876

GCF of denominators i.e. for 626,420 is 2.

Thus, LCM of Fractions is 1379438.Finally, LCM of Fractions for 2342/626, 2356/420 is 1379438.