Least Common Multiple of 2762/393, 5188/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2762/393, 5188/602 quickly i.e. 7164628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2762/393, 5188/602 is 7164628.

LCM(2762/393, 5188/602) = 7164628

LCM of 2762/393, 5188/602

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 2762/393,5188/602

Given numbers are 2762/393,5188/602

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 2762,5188

Least Common Multiple of Numerators i.e. LCM of 2762,5188 is 7164628.

GCF of Denominators means GCF of 393,602 as per the given fractions.

GCF of 393,602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2762,5188

LCM of Fractions 2762/393,5188/602 is 7164628

2 2762, 5188
1381, 2594

∴ So the LCM of the given numbers is 2 x 1381 x 2594 = 7164628

Least Common Multiple of 2762,5188 with GCF Formula

Least Common Multiple of 2762,5188 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 2762,5188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2762,5188) = 2

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

GCF(2762,5188) x common factors =2 x 1 = 2

LCM(2762,5188) = ( 2762 × 5188 ) / 2

LCM(2762,5188) = 14329256 / 2

LCM(2762,5188) = 7164628


Lets's calculate GCF of 393,602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7164628/1

Therefore the LCM of Fractions 2762/393,5188/602 is 7164628

Greatest Common Factor of 393,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,602 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 393,602 . The biggest common factor number is the GCF number.
So the greatest common factor 393,602 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2762/393, 5188/602

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 2762/393, 5188/602?

Answer: LCM of Numerators as per given numbers 2762/393, 5188/602 is

LCM of Numerators i.e. for 2762,5188 is 7164628

GCF of denominators i.e. for 393,602 is 1.

Thus, LCM of Fractions is 7164628.Finally, LCM of Fractions for 2762/393, 5188/602 is 7164628.