Least Common Multiple of 542/92, 707/41, 378/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/92, 707/41, 378/293 quickly i.e. 10346238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/92, 707/41, 378/293 is 10346238.

LCM(542/92, 707/41, 378/293) = 10346238

LCM of 542/92, 707/41, 378/293

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 542/92,707/41,378/293

Given numbers are 542/92,707/41,378/293

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 542,707,378

Least Common Multiple of Numerators i.e. LCM of 542,707,378 is 10346238.

GCF of Denominators means GCF of 92,41,293 as per the given fractions.

GCF of 92,41,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,707,378

LCM of Fractions 542/92,707/41,378/293 is 10346238

2 542, 707, 378
7 271, 707, 189
271, 101, 27

∴ So the LCM of the given numbers is 2 x 7 x 271 x 101 x 27 = 10346238

Least Common Multiple of 542,707,378 with GCF Formula

Least Common Multiple of 542,707,378 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 542,707,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,707,378) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(542,707,378) x common factors =1 x 14 = 14

LCM(542,707,378) = ( 542 × 707 × 378 ) / 14

LCM(542,707,378) = 144847332 / 14

LCM(542,707,378) = 10346238


Lets's calculate GCF of 92,41,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10346238/1

Therefore the LCM of Fractions 542/92,707/41,378/293 is 10346238

Greatest Common Factor of 92,41,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,41,293 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 92,41,293 . The biggest common factor number is the GCF number.
So the greatest common factor 92,41,293 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 542/92, 707/41, 378/293

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 542/92, 707/41, 378/293?

Answer: LCM of Numerators as per given numbers 542/92, 707/41, 378/293 is

LCM of Numerators i.e. for 542,707,378 is 10346238

GCF of denominators i.e. for 92,41,293 is 1.

Thus, LCM of Fractions is 10346238.Finally, LCM of Fractions for 542/92, 707/41, 378/293 is 10346238.