Least Common Multiple of 291/66, 996/36, 994/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 291/66, 996/36, 994/425 quickly i.e. 48016164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/66, 996/36, 994/425 is 48016164.

LCM(291/66, 996/36, 994/425) = 48016164

LCM of 291/66, 996/36, 994/425

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 291/66,996/36,994/425

Given numbers are 291/66,996/36,994/425

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 291,996,994

Least Common Multiple of Numerators i.e. LCM of 291,996,994 is 48016164.

GCF of Denominators means GCF of 66,36,425 as per the given fractions.

GCF of 66,36,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,996,994

LCM of Fractions 291/66,996/36,994/425 is 48016164

2 291, 996, 994
3 291, 498, 497
97, 166, 497

∴ So the LCM of the given numbers is 2 x 3 x 97 x 166 x 497 = 48016164

Least Common Multiple of 291,996,994 with GCF Formula

Least Common Multiple of 291,996,994 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 291,996,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,996,994) = 1

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

GCF(291,996,994) x common factors =1 x 6 = 6

LCM(291,996,994) = ( 291 × 996 × 994 ) / 6

LCM(291,996,994) = 288096984 / 6

LCM(291,996,994) = 48016164


Lets's calculate GCF of 66,36,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48016164/1

Therefore the LCM of Fractions 291/66,996/36,994/425 is 48016164

Greatest Common Factor of 66,36,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,36,425 By Matching Biggest Common Factor Method

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 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 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 66,36,425 . The biggest common factor number is the GCF number.
So the greatest common factor 66,36,425 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 291/66, 996/36, 994/425

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 291/66, 996/36, 994/425?

Answer: LCM of Numerators as per given numbers 291/66, 996/36, 994/425 is

LCM of Numerators i.e. for 291,996,994 is 48016164

GCF of denominators i.e. for 66,36,425 is 1.

Thus, LCM of Fractions is 48016164.Finally, LCM of Fractions for 291/66, 996/36, 994/425 is 48016164.