Least Common Multiple of 991/36, 240/76, 475/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 991/36, 240/76, 475/176 quickly i.e. 5648700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 991/36, 240/76, 475/176 is 5648700.

LCM(991/36, 240/76, 475/176) = 5648700

LCM of 991/36, 240/76, 475/176

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 991/36,240/76,475/176

Given numbers are 991/36,240/76,475/176

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 991,240,475

Least Common Multiple of Numerators i.e. LCM of 991,240,475 is 22594800.

GCF of Denominators means GCF of 36,76,176 as per the given fractions.

GCF of 36,76,176 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 991,240,475

LCM of Fractions 991/36,240/76,475/176 is 5648700

5 991, 240, 475
991, 48, 95

∴ So the LCM of the given numbers is 5 x 991 x 48 x 95 = 22594800

Least Common Multiple of 991,240,475 with GCF Formula

Least Common Multiple of 991,240,475 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 991,240,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,240,475) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(991,240,475) x common factors =1 x 5 = 5

LCM(991,240,475) = ( 991 × 240 × 475 ) / 5

LCM(991,240,475) = 112974000 / 5

LCM(991,240,475) = 22594800


Lets's calculate GCF of 36,76,176

2 36, 76, 176
2 18, 38, 88
9, 19, 44

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22594800/4

Therefore the LCM of Fractions 991/36,240/76,475/176 is 5648700

Greatest Common Factor of 36,76,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,76,176 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 36,76,176 . The biggest common factor number is the GCF number.
So the greatest common factor 36,76,176 is 4.


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 991/36, 240/76, 475/176

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 991/36, 240/76, 475/176?

Answer: LCM of Numerators as per given numbers 991/36, 240/76, 475/176 is

LCM of Numerators i.e. for 991,240,475 is 22594800

GCF of denominators i.e. for 36,76,176 is 4.

Thus, LCM of Fractions is 5648700.Finally, LCM of Fractions for 991/36, 240/76, 475/176 is 5648700.