Least Common Multiple of 308/20, 781/56, 340/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/20, 781/56, 340/556 quickly i.e. 464695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/20, 781/56, 340/556 is 464695.

LCM(308/20, 781/56, 340/556) = 464695

LCM of 308/20, 781/56, 340/556

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 308/20,781/56,340/556

Given numbers are 308/20,781/56,340/556

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 308,781,340

Least Common Multiple of Numerators i.e. LCM of 308,781,340 is 1858780.

GCF of Denominators means GCF of 20,56,556 as per the given fractions.

GCF of 20,56,556 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,781,340

LCM of Fractions 308/20,781/56,340/556 is 464695

2 308, 781, 340
2 154, 781, 170
11 77, 781, 85
7, 71, 85

∴ So the LCM of the given numbers is 2 x 2 x 11 x 7 x 71 x 85 = 1858780

Least Common Multiple of 308,781,340 with GCF Formula

Least Common Multiple of 308,781,340 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 308,781,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,781,340) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(308,781,340) x common factors =1 x 44 = 44

LCM(308,781,340) = ( 308 × 781 × 340 ) / 44

LCM(308,781,340) = 81786320 / 44

LCM(308,781,340) = 1858780


Lets's calculate GCF of 20,56,556

2 20, 56, 556
2 10, 28, 278
5, 14, 139

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1858780/4

Therefore the LCM of Fractions 308/20,781/56,340/556 is 464695

Greatest Common Factor of 20,56,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,56,556 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 20,56,556 . The biggest common factor number is the GCF number.
So the greatest common factor 20,56,556 is 4.


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 308/20, 781/56, 340/556

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 308/20, 781/56, 340/556?

Answer: LCM of Numerators as per given numbers 308/20, 781/56, 340/556 is

LCM of Numerators i.e. for 308,781,340 is 1858780

GCF of denominators i.e. for 20,56,556 is 4.

Thus, LCM of Fractions is 464695.Finally, LCM of Fractions for 308/20, 781/56, 340/556 is 464695.