Least Common Multiple of 340/938, 269/795, 744/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/938, 269/795, 744/886 quickly i.e. 17011560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/938, 269/795, 744/886 is 17011560.

LCM(340/938, 269/795, 744/886) = 17011560

LCM of 340/938, 269/795, 744/886

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 340/938,269/795,744/886

Given numbers are 340/938,269/795,744/886

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 340,269,744

Least Common Multiple of Numerators i.e. LCM of 340,269,744 is 17011560.

GCF of Denominators means GCF of 938,795,886 as per the given fractions.

GCF of 938,795,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,269,744

LCM of Fractions 340/938,269/795,744/886 is 17011560

2 340, 269, 744
2 170, 269, 372
85, 269, 186

∴ So the LCM of the given numbers is 2 x 2 x 85 x 269 x 186 = 17011560

Least Common Multiple of 340,269,744 with GCF Formula

Least Common Multiple of 340,269,744 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 340,269,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,269,744) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(340,269,744) x common factors =1 x 4 = 4

LCM(340,269,744) = ( 340 × 269 × 744 ) / 4

LCM(340,269,744) = 68046240 / 4

LCM(340,269,744) = 17011560


Lets's calculate GCF of 938,795,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17011560/1

Therefore the LCM of Fractions 340/938,269/795,744/886 is 17011560

Greatest Common Factor of 938,795,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,795,886 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 938,795,886 . The biggest common factor number is the GCF number.
So the greatest common factor 938,795,886 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 340/938, 269/795, 744/886

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 340/938, 269/795, 744/886?

Answer: LCM of Numerators as per given numbers 340/938, 269/795, 744/886 is

LCM of Numerators i.e. for 340,269,744 is 17011560

GCF of denominators i.e. for 938,795,886 is 1.

Thus, LCM of Fractions is 17011560.Finally, LCM of Fractions for 340/938, 269/795, 744/886 is 17011560.