Least Common Multiple of 66/438, 756/292, 239/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/438, 756/292, 239/991 quickly i.e. 1987524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/438, 756/292, 239/991 is 1987524.

LCM(66/438, 756/292, 239/991) = 1987524

LCM of 66/438, 756/292, 239/991

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 66/438,756/292,239/991

Given numbers are 66/438,756/292,239/991

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 66,756,239

Least Common Multiple of Numerators i.e. LCM of 66,756,239 is 1987524.

GCF of Denominators means GCF of 438,292,991 as per the given fractions.

GCF of 438,292,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,756,239

LCM of Fractions 66/438,756/292,239/991 is 1987524

2 66, 756, 239
3 33, 378, 239
11, 126, 239

∴ So the LCM of the given numbers is 2 x 3 x 11 x 126 x 239 = 1987524

Least Common Multiple of 66,756,239 with GCF Formula

Least Common Multiple of 66,756,239 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 66,756,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,756,239) = 1

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

GCF(66,756,239) x common factors =1 x 6 = 6

LCM(66,756,239) = ( 66 × 756 × 239 ) / 6

LCM(66,756,239) = 11925144 / 6

LCM(66,756,239) = 1987524


Lets's calculate GCF of 438,292,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1987524/1

Therefore the LCM of Fractions 66/438,756/292,239/991 is 1987524

Greatest Common Factor of 438,292,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,292,991 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 438,292,991 . The biggest common factor number is the GCF number.
So the greatest common factor 438,292,991 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 66/438, 756/292, 239/991

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 66/438, 756/292, 239/991?

Answer: LCM of Numerators as per given numbers 66/438, 756/292, 239/991 is

LCM of Numerators i.e. for 66,756,239 is 1987524

GCF of denominators i.e. for 438,292,991 is 1.

Thus, LCM of Fractions is 1987524.Finally, LCM of Fractions for 66/438, 756/292, 239/991 is 1987524.