Least Common Multiple of 73/76, 912/92, 438/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/76, 912/92, 438/513 quickly i.e. 66576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/76, 912/92, 438/513 is 66576.

LCM(73/76, 912/92, 438/513) = 66576

LCM of 73/76, 912/92, 438/513

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 73/76,912/92,438/513

Given numbers are 73/76,912/92,438/513

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 73,912,438

Least Common Multiple of Numerators i.e. LCM of 73,912,438 is 66576.

GCF of Denominators means GCF of 76,92,513 as per the given fractions.

GCF of 76,92,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,912,438

LCM of Fractions 73/76,912/92,438/513 is 66576

2 73, 912, 438
3 73, 456, 219
73 73, 152, 73
1, 152, 1

∴ So the LCM of the given numbers is 2 x 3 x 73 x 1 x 152 x 1 = 66576

Least Common Multiple of 73,912,438 with GCF Formula

Least Common Multiple of 73,912,438 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 73,912,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,912,438) = 1

common factors(in case of two or more numbers have common factors) = 438

GCF(73,912,438) x common factors =1 x 438 = 438

LCM(73,912,438) = ( 73 × 912 × 438 ) / 438

LCM(73,912,438) = 29160288 / 438

LCM(73,912,438) = 66576


Lets's calculate GCF of 76,92,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66576/1

Therefore the LCM of Fractions 73/76,912/92,438/513 is 66576

Greatest Common Factor of 76,92,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,92,513 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 76,92,513 . The biggest common factor number is the GCF number.
So the greatest common factor 76,92,513 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 73/76, 912/92, 438/513

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 73/76, 912/92, 438/513?

Answer: LCM of Numerators as per given numbers 73/76, 912/92, 438/513 is

LCM of Numerators i.e. for 73,912,438 is 66576

GCF of denominators i.e. for 76,92,513 is 1.

Thus, LCM of Fractions is 66576.Finally, LCM of Fractions for 73/76, 912/92, 438/513 is 66576.