Least Common Multiple of 292/28, 319/75, 470/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 292/28, 319/75, 470/40 quickly i.e. 21889780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/28, 319/75, 470/40 is 21889780.

LCM(292/28, 319/75, 470/40) = 21889780

LCM of 292/28, 319/75, 470/40

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 292/28,319/75,470/40

Given numbers are 292/28,319/75,470/40

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 292,319,470

Least Common Multiple of Numerators i.e. LCM of 292,319,470 is 21889780.

GCF of Denominators means GCF of 28,75,40 as per the given fractions.

GCF of 28,75,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,319,470

LCM of Fractions 292/28,319/75,470/40 is 21889780

2 292, 319, 470
146, 319, 235

∴ So the LCM of the given numbers is 2 x 146 x 319 x 235 = 21889780

Least Common Multiple of 292,319,470 with GCF Formula

Least Common Multiple of 292,319,470 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 292,319,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,319,470) = 1

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

GCF(292,319,470) x common factors =1 x 2 = 2

LCM(292,319,470) = ( 292 × 319 × 470 ) / 2

LCM(292,319,470) = 43779560 / 2

LCM(292,319,470) = 21889780


Lets's calculate GCF of 28,75,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21889780/1

Therefore the LCM of Fractions 292/28,319/75,470/40 is 21889780

Greatest Common Factor of 28,75,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,75,40 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 28,75,40 . The biggest common factor number is the GCF number.
So the greatest common factor 28,75,40 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 292/28, 319/75, 470/40

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 292/28, 319/75, 470/40?

Answer: LCM of Numerators as per given numbers 292/28, 319/75, 470/40 is

LCM of Numerators i.e. for 292,319,470 is 21889780

GCF of denominators i.e. for 28,75,40 is 1.

Thus, LCM of Fractions is 21889780.Finally, LCM of Fractions for 292/28, 319/75, 470/40 is 21889780.