Least Common Multiple of 19/741, 52/116, 863/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/741, 52/116, 863/292 quickly i.e. 852644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/741, 52/116, 863/292 is 852644.

LCM(19/741, 52/116, 863/292) = 852644

LCM of 19/741, 52/116, 863/292

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 19/741,52/116,863/292

Given numbers are 19/741,52/116,863/292

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 19,52,863

Least Common Multiple of Numerators i.e. LCM of 19,52,863 is 852644.

GCF of Denominators means GCF of 741,116,292 as per the given fractions.

GCF of 741,116,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,52,863

LCM of Fractions 19/741,52/116,863/292 is 852644

Given numbers has no common factors except 1. So, there LCM is their product i.e 852644

Least Common Multiple of 19,52,863 with GCF Formula

Least Common Multiple of 19,52,863 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 19,52,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,52,863) = 1

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

GCF(19,52,863) x common factors =1 x 1 = 1

LCM(19,52,863) = ( 19 × 52 × 863 ) / 1

LCM(19,52,863) = 852644 / 1

LCM(19,52,863) = 852644


Lets's calculate GCF of 741,116,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 852644/1

Therefore the LCM of Fractions 19/741,52/116,863/292 is 852644

Greatest Common Factor of 741,116,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,116,292 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 741,116,292 . The biggest common factor number is the GCF number.
So the greatest common factor 741,116,292 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/741, 52/116, 863/292

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 19/741, 52/116, 863/292?

Answer: LCM of Numerators as per given numbers 19/741, 52/116, 863/292 is

LCM of Numerators i.e. for 19,52,863 is 852644

GCF of denominators i.e. for 741,116,292 is 1.

Thus, LCM of Fractions is 852644.Finally, LCM of Fractions for 19/741, 52/116, 863/292 is 852644.