Least Common Multiple of 62/23, 78/275, 727/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/23, 78/275, 727/404 quickly i.e. 1757886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/23, 78/275, 727/404 is 1757886.

LCM(62/23, 78/275, 727/404) = 1757886

LCM of 62/23, 78/275, 727/404

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 62/23,78/275,727/404

Given numbers are 62/23,78/275,727/404

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 62,78,727

Least Common Multiple of Numerators i.e. LCM of 62,78,727 is 1757886.

GCF of Denominators means GCF of 23,275,404 as per the given fractions.

GCF of 23,275,404 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,78,727

LCM of Fractions 62/23,78/275,727/404 is 1757886

2 62, 78, 727
31, 39, 727

∴ So the LCM of the given numbers is 2 x 31 x 39 x 727 = 1757886

Least Common Multiple of 62,78,727 with GCF Formula

Least Common Multiple of 62,78,727 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 62,78,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,78,727) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,78,727) x common factors =1 x 2 = 2

LCM(62,78,727) = ( 62 × 78 × 727 ) / 2

LCM(62,78,727) = 3515772 / 2

LCM(62,78,727) = 1757886


Lets's calculate GCF of 23,275,404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1757886/1

Therefore the LCM of Fractions 62/23,78/275,727/404 is 1757886

Greatest Common Factor of 23,275,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,275,404 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 23,275,404 . The biggest common factor number is the GCF number.
So the greatest common factor 23,275,404 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/23, 78/275, 727/404

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 62/23, 78/275, 727/404?

Answer: LCM of Numerators as per given numbers 62/23, 78/275, 727/404 is

LCM of Numerators i.e. for 62,78,727 is 1757886

GCF of denominators i.e. for 23,275,404 is 1.

Thus, LCM of Fractions is 1757886.Finally, LCM of Fractions for 62/23, 78/275, 727/404 is 1757886.