Least Common Multiple of 268/84, 941/4431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 268/84, 941/4431 quickly i.e. 252188/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/84, 941/4431 is 252188/21.

LCM(268/84, 941/4431) = 252188/21

LCM of 268/84, 941/4431

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 268/84,941/4431

Given numbers are 268/84,941/4431

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 268,941

Least Common Multiple of Numerators i.e. LCM of 268,941 is 252188.

GCF of Denominators means GCF of 84,4431 as per the given fractions.

GCF of 84,4431 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,941

LCM of Fractions 268/84,941/4431 is 252188/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 252188

Least Common Multiple of 268,941 with GCF Formula

Least Common Multiple of 268,941 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 268,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,941) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(268,941) x common factors =1 x 1 = 1

LCM(268,941) = ( 268 × 941 ) / 1

LCM(268,941) = 252188 / 1

LCM(268,941) = 252188


Lets's calculate GCF of 84,4431

3 84, 4431
7 28, 1477
4, 211

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252188/21

Therefore the LCM of Fractions 268/84,941/4431 is 252188/21

Greatest Common Factor of 84,4431 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,4431 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 4431

List of positive integer factors of 4431 that divides 4431 without a remainder.

1,3,7,21,211,633,1477,4431

Greatest Common Factor

We found the factors 84,4431 . The biggest common factor number is the GCF number.
So the greatest common factor 84,4431 is 21.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 268/84, 941/4431

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 268/84, 941/4431?

Answer: LCM of Numerators as per given numbers 268/84, 941/4431 is

LCM of Numerators i.e. for 268,941 is 252188

GCF of denominators i.e. for 84,4431 is 21.

Thus, LCM of Fractions is 252188/21.Finally, LCM of Fractions for 268/84, 941/4431 is 252188/21.