Least Common Multiple of 3/76, 4/82, 21/80, 62/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/76, 4/82, 21/80, 62/758 quickly i.e. 1302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/76, 4/82, 21/80, 62/758 is 1302.

LCM(3/76, 4/82, 21/80, 62/758) = 1302

LCM of 3/76, 4/82, 21/80, 62/758

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 3/76,4/82,21/80,62/758

Given numbers are 3/76,4/82,21/80,62/758

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 3,4,21,62

Least Common Multiple of Numerators i.e. LCM of 3,4,21,62 is 2604.

GCF of Denominators means GCF of 76,82,80,758 as per the given fractions.

GCF of 76,82,80,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,4,21,62

LCM of Fractions 3/76,4/82,21/80,62/758 is 1302

2 3, 4, 21, 62
3 3, 2, 21, 31
1, 2, 7, 31

∴ So the LCM of the given numbers is 2 x 3 x 1 x 2 x 7 x 31 = 2604

Least Common Multiple of 3,4,21,62 with GCF Formula

Least Common Multiple of 3,4,21,62 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 3,4,21,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,4,21,62) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(3,4,21,62) x common factors =1 x 6 = 6

LCM(3,4,21,62) = ( 3 × 4 × 21 × 62 ) / 6

LCM(3,4,21,62) = 15624 / 6

LCM(3,4,21,62) = 2604


Lets's calculate GCF of 76,82,80,758

2 76, 82, 80, 758
38, 41, 40, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2604/2

Therefore the LCM of Fractions 3/76,4/82,21/80,62/758 is 1302

Greatest Common Factor of 76,82,80,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,82,80,758 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 76,82,80,758 . The biggest common factor number is the GCF number.
So the greatest common factor 76,82,80,758 is 2.


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 3/76, 4/82, 21/80, 62/758

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 3/76, 4/82, 21/80, 62/758?

Answer: LCM of Numerators as per given numbers 3/76, 4/82, 21/80, 62/758 is

LCM of Numerators i.e. for 3,4,21,62 is 2604

GCF of denominators i.e. for 76,82,80,758 is 2.

Thus, LCM of Fractions is 1302.Finally, LCM of Fractions for 3/76, 4/82, 21/80, 62/758 is 1302.