Least Common Multiple of 78/235, 40/542, 470/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/235, 40/542, 470/734 quickly i.e. 73320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/235, 40/542, 470/734 is 73320.

LCM(78/235, 40/542, 470/734) = 73320

LCM of 78/235, 40/542, 470/734

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 78/235,40/542,470/734

Given numbers are 78/235,40/542,470/734

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 78,40,470

Least Common Multiple of Numerators i.e. LCM of 78,40,470 is 73320.

GCF of Denominators means GCF of 235,542,734 as per the given fractions.

GCF of 235,542,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,40,470

LCM of Fractions 78/235,40/542,470/734 is 73320

2 78, 40, 470
5 39, 20, 235
39, 4, 47

∴ So the LCM of the given numbers is 2 x 5 x 39 x 4 x 47 = 73320

Least Common Multiple of 78,40,470 with GCF Formula

Least Common Multiple of 78,40,470 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 78,40,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,40,470) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(78,40,470) x common factors =2 x 10 = 20

LCM(78,40,470) = ( 78 × 40 × 470 ) / 20

LCM(78,40,470) = 1466400 / 20

LCM(78,40,470) = 73320


Lets's calculate GCF of 235,542,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73320/1

Therefore the LCM of Fractions 78/235,40/542,470/734 is 73320

Greatest Common Factor of 235,542,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,542,734 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 542

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

1,2,271,542

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 235,542,734 . The biggest common factor number is the GCF number.
So the greatest common factor 235,542,734 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 78/235, 40/542, 470/734

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 78/235, 40/542, 470/734?

Answer: LCM of Numerators as per given numbers 78/235, 40/542, 470/734 is

LCM of Numerators i.e. for 78,40,470 is 73320

GCF of denominators i.e. for 235,542,734 is 1.

Thus, LCM of Fractions is 73320.Finally, LCM of Fractions for 78/235, 40/542, 470/734 is 73320.