Least Common Multiple of 62/574, 2641/1766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/574, 2641/1766 quickly i.e. 81871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/574, 2641/1766 is 81871.

LCM(62/574, 2641/1766) = 81871

LCM of 62/574, 2641/1766

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 62/574,2641/1766

Given numbers are 62/574,2641/1766

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 62,2641

Least Common Multiple of Numerators i.e. LCM of 62,2641 is 163742.

GCF of Denominators means GCF of 574,1766 as per the given fractions.

GCF of 574,1766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,2641

LCM of Fractions 62/574,2641/1766 is 81871

Given numbers has no common factors except 1. So, there LCM is their product i.e 163742

Least Common Multiple of 62,2641 with GCF Formula

Least Common Multiple of 62,2641 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 62,2641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,2641) = 1

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

GCF(62,2641) x common factors =1 x 1 = 1

LCM(62,2641) = ( 62 × 2641 ) / 1

LCM(62,2641) = 163742 / 1

LCM(62,2641) = 163742


Lets's calculate GCF of 574,1766

2 574, 1766
287, 883

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163742/2

Therefore the LCM of Fractions 62/574,2641/1766 is 81871

Greatest Common Factor of 574,1766 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,1766 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 1766

List of positive integer factors of 1766 that divides 1766 without a remainder.

1,2,883,1766

Greatest Common Factor

We found the factors 574,1766 . The biggest common factor number is the GCF number.
So the greatest common factor 574,1766 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/574, 2641/1766

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 62/574, 2641/1766?

Answer: LCM of Numerators as per given numbers 62/574, 2641/1766 is

LCM of Numerators i.e. for 62,2641 is 163742

GCF of denominators i.e. for 574,1766 is 2.

Thus, LCM of Fractions is 81871.Finally, LCM of Fractions for 62/574, 2641/1766 is 81871.