Least Common Multiple of 743/58, 537/54, 493/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/58, 537/54, 493/364 quickly i.e. 196702563/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/58, 537/54, 493/364 is 196702563/2.

LCM(743/58, 537/54, 493/364) = 196702563/2

LCM of 743/58, 537/54, 493/364

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 743/58,537/54,493/364

Given numbers are 743/58,537/54,493/364

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 743,537,493

Least Common Multiple of Numerators i.e. LCM of 743,537,493 is 196702563.

GCF of Denominators means GCF of 58,54,364 as per the given fractions.

GCF of 58,54,364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,537,493

LCM of Fractions 743/58,537/54,493/364 is 196702563/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 196702563

Least Common Multiple of 743,537,493 with GCF Formula

Least Common Multiple of 743,537,493 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 743,537,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,537,493) = 1

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

GCF(743,537,493) x common factors =1 x 1 = 1

LCM(743,537,493) = ( 743 × 537 × 493 ) / 1

LCM(743,537,493) = 196702563 / 1

LCM(743,537,493) = 196702563


Lets's calculate GCF of 58,54,364

2 58, 54, 364
29, 27, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196702563/2

Therefore the LCM of Fractions 743/58,537/54,493/364 is 196702563/2

Greatest Common Factor of 58,54,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,54,364 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 58,54,364 . The biggest common factor number is the GCF number.
So the greatest common factor 58,54,364 is 2.


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 743/58, 537/54, 493/364

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 743/58, 537/54, 493/364?

Answer: LCM of Numerators as per given numbers 743/58, 537/54, 493/364 is

LCM of Numerators i.e. for 743,537,493 is 196702563

GCF of denominators i.e. for 58,54,364 is 2.

Thus, LCM of Fractions is 196702563/2.Finally, LCM of Fractions for 743/58, 537/54, 493/364 is 196702563/2.