Least Common Multiple of 40/91, 63/66, 21/93, 21/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/91, 63/66, 21/93, 21/176 quickly i.e. 2520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/91, 63/66, 21/93, 21/176 is 2520.

LCM(40/91, 63/66, 21/93, 21/176) = 2520

LCM of 40/91, 63/66, 21/93, 21/176

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 40/91,63/66,21/93,21/176

Given numbers are 40/91,63/66,21/93,21/176

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 40,63,21,21

Least Common Multiple of Numerators i.e. LCM of 40,63,21,21 is 2520.

GCF of Denominators means GCF of 91,66,93,176 as per the given fractions.

GCF of 91,66,93,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,63,21,21

LCM of Fractions 40/91,63/66,21/93,21/176 is 2520

3 40, 63, 21, 21
7 40, 21, 7, 7
40, 3, 1, 1

∴ So the LCM of the given numbers is 3 x 7 x 40 x 3 x 1 x 1 = 2520

Least Common Multiple of 40,63,21,21 with GCF Formula

Least Common Multiple of 40,63,21,21 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 40,63,21,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,63,21,21) = 1

common factors(in case of two or more numbers have common factors) = 441

GCF(40,63,21,21) x common factors =1 x 441 = 441

LCM(40,63,21,21) = ( 40 × 63 × 21 × 21 ) / 441

LCM(40,63,21,21) = 1111320 / 441

LCM(40,63,21,21) = 2520


Lets's calculate GCF of 91,66,93,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/1

Therefore the LCM of Fractions 40/91,63/66,21/93,21/176 is 2520

Greatest Common Factor of 91,66,93,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,66,93,176 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

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 91,66,93,176 . The biggest common factor number is the GCF number.
So the greatest common factor 91,66,93,176 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/91, 63/66, 21/93, 21/176

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 40/91, 63/66, 21/93, 21/176?

Answer: LCM of Numerators as per given numbers 40/91, 63/66, 21/93, 21/176 is

LCM of Numerators i.e. for 40,63,21,21 is 2520

GCF of denominators i.e. for 91,66,93,176 is 1.

Thus, LCM of Fractions is 2520.Finally, LCM of Fractions for 40/91, 63/66, 21/93, 21/176 is 2520.