Least Common Multiple of 43/79, 50/70, 378/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/79, 50/70, 378/268 quickly i.e. 406350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/79, 50/70, 378/268 is 406350.

LCM(43/79, 50/70, 378/268) = 406350

LCM of 43/79, 50/70, 378/268

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 43/79,50/70,378/268

Given numbers are 43/79,50/70,378/268

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 43,50,378

Least Common Multiple of Numerators i.e. LCM of 43,50,378 is 406350.

GCF of Denominators means GCF of 79,70,268 as per the given fractions.

GCF of 79,70,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,50,378

LCM of Fractions 43/79,50/70,378/268 is 406350

2 43, 50, 378
43, 25, 189

∴ So the LCM of the given numbers is 2 x 43 x 25 x 189 = 406350

Least Common Multiple of 43,50,378 with GCF Formula

Least Common Multiple of 43,50,378 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 43,50,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,50,378) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,50,378) x common factors =1 x 2 = 2

LCM(43,50,378) = ( 43 × 50 × 378 ) / 2

LCM(43,50,378) = 812700 / 2

LCM(43,50,378) = 406350


Lets's calculate GCF of 79,70,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406350/1

Therefore the LCM of Fractions 43/79,50/70,378/268 is 406350

Greatest Common Factor of 79,70,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,70,268 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 79,70,268 . The biggest common factor number is the GCF number.
So the greatest common factor 79,70,268 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 43/79, 50/70, 378/268

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 43/79, 50/70, 378/268?

Answer: LCM of Numerators as per given numbers 43/79, 50/70, 378/268 is

LCM of Numerators i.e. for 43,50,378 is 406350

GCF of denominators i.e. for 79,70,268 is 1.

Thus, LCM of Fractions is 406350.Finally, LCM of Fractions for 43/79, 50/70, 378/268 is 406350.