Least Common Multiple of 77/53, 292/19, 438/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/53, 292/19, 438/743 quickly i.e. 67452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/53, 292/19, 438/743 is 67452.

LCM(77/53, 292/19, 438/743) = 67452

LCM of 77/53, 292/19, 438/743

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 77/53,292/19,438/743

Given numbers are 77/53,292/19,438/743

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 77,292,438

Least Common Multiple of Numerators i.e. LCM of 77,292,438 is 67452.

GCF of Denominators means GCF of 53,19,743 as per the given fractions.

GCF of 53,19,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,292,438

LCM of Fractions 77/53,292/19,438/743 is 67452

2 77, 292, 438
73 77, 146, 219
77, 2, 3

∴ So the LCM of the given numbers is 2 x 73 x 77 x 2 x 3 = 67452

Least Common Multiple of 77,292,438 with GCF Formula

Least Common Multiple of 77,292,438 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 77,292,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,292,438) = 1

common factors(in case of two or more numbers have common factors) = 146

GCF(77,292,438) x common factors =1 x 146 = 146

LCM(77,292,438) = ( 77 × 292 × 438 ) / 146

LCM(77,292,438) = 9847992 / 146

LCM(77,292,438) = 67452


Lets's calculate GCF of 53,19,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67452/1

Therefore the LCM of Fractions 77/53,292/19,438/743 is 67452

Greatest Common Factor of 53,19,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,19,743 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 53,19,743 . The biggest common factor number is the GCF number.
So the greatest common factor 53,19,743 is 1.


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 77/53, 292/19, 438/743

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 77/53, 292/19, 438/743?

Answer: LCM of Numerators as per given numbers 77/53, 292/19, 438/743 is

LCM of Numerators i.e. for 77,292,438 is 67452

GCF of denominators i.e. for 53,19,743 is 1.

Thus, LCM of Fractions is 67452.Finally, LCM of Fractions for 77/53, 292/19, 438/743 is 67452.