Least Common Multiple of 5196/574, 7694/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5196/574, 7694/546 quickly i.e. 19989012/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5196/574, 7694/546 is 19989012/14.

LCM(5196/574, 7694/546) = 19989012/14

LCM of 5196/574, 7694/546

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 5196/574,7694/546

Given numbers are 5196/574,7694/546

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 5196,7694

Least Common Multiple of Numerators i.e. LCM of 5196,7694 is 19989012.

GCF of Denominators means GCF of 574,546 as per the given fractions.

GCF of 574,546 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5196,7694

LCM of Fractions 5196/574,7694/546 is 19989012/14

2 5196, 7694
2598, 3847

∴ So the LCM of the given numbers is 2 x 2598 x 3847 = 19989012

Least Common Multiple of 5196,7694 with GCF Formula

Least Common Multiple of 5196,7694 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 5196,7694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5196,7694) = 2

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

GCF(5196,7694) x common factors =2 x 1 = 2

LCM(5196,7694) = ( 5196 × 7694 ) / 2

LCM(5196,7694) = 39978024 / 2

LCM(5196,7694) = 19989012


Lets's calculate GCF of 574,546

2 574, 546
7 287, 273
41, 39

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19989012/14

Therefore the LCM of Fractions 5196/574,7694/546 is 19989012/14

Greatest Common Factor of 574,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,546 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 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 574,546 . The biggest common factor number is the GCF number.
So the greatest common factor 574,546 is 14.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5196/574, 7694/546

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 5196/574, 7694/546?

Answer: LCM of Numerators as per given numbers 5196/574, 7694/546 is

LCM of Numerators i.e. for 5196,7694 is 19989012

GCF of denominators i.e. for 574,546 is 14.

Thus, LCM of Fractions is 19989012/14.Finally, LCM of Fractions for 5196/574, 7694/546 is 19989012/14.