Least Common Multiple of 94/542, 71/255, 308/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/542, 71/255, 308/340 quickly i.e. 1027796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/542, 71/255, 308/340 is 1027796.

LCM(94/542, 71/255, 308/340) = 1027796

LCM of 94/542, 71/255, 308/340

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 94/542,71/255,308/340

Given numbers are 94/542,71/255,308/340

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 94,71,308

Least Common Multiple of Numerators i.e. LCM of 94,71,308 is 1027796.

GCF of Denominators means GCF of 542,255,340 as per the given fractions.

GCF of 542,255,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,71,308

LCM of Fractions 94/542,71/255,308/340 is 1027796

2 94, 71, 308
47, 71, 154

∴ So the LCM of the given numbers is 2 x 47 x 71 x 154 = 1027796

Least Common Multiple of 94,71,308 with GCF Formula

Least Common Multiple of 94,71,308 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 94,71,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,71,308) = 1

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

GCF(94,71,308) x common factors =1 x 2 = 2

LCM(94,71,308) = ( 94 × 71 × 308 ) / 2

LCM(94,71,308) = 2055592 / 2

LCM(94,71,308) = 1027796


Lets's calculate GCF of 542,255,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1027796/1

Therefore the LCM of Fractions 94/542,71/255,308/340 is 1027796

Greatest Common Factor of 542,255,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,255,340 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 542,255,340 . The biggest common factor number is the GCF number.
So the greatest common factor 542,255,340 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 94/542, 71/255, 308/340

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 94/542, 71/255, 308/340?

Answer: LCM of Numerators as per given numbers 94/542, 71/255, 308/340 is

LCM of Numerators i.e. for 94,71,308 is 1027796

GCF of denominators i.e. for 542,255,340 is 1.

Thus, LCM of Fractions is 1027796.Finally, LCM of Fractions for 94/542, 71/255, 308/340 is 1027796.