Least Common Multiple of 340/82, 256/51, 749/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/82, 256/51, 749/915 quickly i.e. 16298240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/82, 256/51, 749/915 is 16298240.

LCM(340/82, 256/51, 749/915) = 16298240

LCM of 340/82, 256/51, 749/915

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 340/82,256/51,749/915

Given numbers are 340/82,256/51,749/915

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 340,256,749

Least Common Multiple of Numerators i.e. LCM of 340,256,749 is 16298240.

GCF of Denominators means GCF of 82,51,915 as per the given fractions.

GCF of 82,51,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,256,749

LCM of Fractions 340/82,256/51,749/915 is 16298240

2 340, 256, 749
2 170, 128, 749
85, 64, 749

∴ So the LCM of the given numbers is 2 x 2 x 85 x 64 x 749 = 16298240

Least Common Multiple of 340,256,749 with GCF Formula

Least Common Multiple of 340,256,749 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 340,256,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,256,749) = 1

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

GCF(340,256,749) x common factors =1 x 4 = 4

LCM(340,256,749) = ( 340 × 256 × 749 ) / 4

LCM(340,256,749) = 65192960 / 4

LCM(340,256,749) = 16298240


Lets's calculate GCF of 82,51,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16298240/1

Therefore the LCM of Fractions 340/82,256/51,749/915 is 16298240

Greatest Common Factor of 82,51,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,51,915 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 82,51,915 . The biggest common factor number is the GCF number.
So the greatest common factor 82,51,915 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 340/82, 256/51, 749/915

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 340/82, 256/51, 749/915?

Answer: LCM of Numerators as per given numbers 340/82, 256/51, 749/915 is

LCM of Numerators i.e. for 340,256,749 is 16298240

GCF of denominators i.e. for 82,51,915 is 1.

Thus, LCM of Fractions is 16298240.Finally, LCM of Fractions for 340/82, 256/51, 749/915 is 16298240.