Least Common Multiple of 995/72, 738/90, 704/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 995/72, 738/90, 704/42 quickly i.e. 43079520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 995/72, 738/90, 704/42 is 43079520.

LCM(995/72, 738/90, 704/42) = 43079520

LCM of 995/72, 738/90, 704/42

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 995/72,738/90,704/42

Given numbers are 995/72,738/90,704/42

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 995,738,704

Least Common Multiple of Numerators i.e. LCM of 995,738,704 is 258477120.

GCF of Denominators means GCF of 72,90,42 as per the given fractions.

GCF of 72,90,42 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 995,738,704

LCM of Fractions 995/72,738/90,704/42 is 43079520

2 995, 738, 704
995, 369, 352

∴ So the LCM of the given numbers is 2 x 995 x 369 x 352 = 258477120

Least Common Multiple of 995,738,704 with GCF Formula

Least Common Multiple of 995,738,704 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 995,738,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,738,704) = 1

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

GCF(995,738,704) x common factors =1 x 2 = 2

LCM(995,738,704) = ( 995 × 738 × 704 ) / 2

LCM(995,738,704) = 516954240 / 2

LCM(995,738,704) = 258477120


Lets's calculate GCF of 72,90,42

2 72, 90, 42
3 36, 45, 21
12, 15, 7

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258477120/6

Therefore the LCM of Fractions 995/72,738/90,704/42 is 43079520

Greatest Common Factor of 72,90,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,90,42 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 72,90,42 . The biggest common factor number is the GCF number.
So the greatest common factor 72,90,42 is 6.


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 995/72, 738/90, 704/42

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 995/72, 738/90, 704/42?

Answer: LCM of Numerators as per given numbers 995/72, 738/90, 704/42 is

LCM of Numerators i.e. for 995,738,704 is 258477120

GCF of denominators i.e. for 72,90,42 is 6.

Thus, LCM of Fractions is 43079520.Finally, LCM of Fractions for 995/72, 738/90, 704/42 is 43079520.