Least Common Multiple of 54/418, 35/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/418, 35/792 quickly i.e. 1890/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/418, 35/792 is 1890/22.

LCM(54/418, 35/792) = 1890/22

LCM of 54/418, 35/792

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 54/418,35/792

Given numbers are 54/418,35/792

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 54,35

Least Common Multiple of Numerators i.e. LCM of 54,35 is 1890.

GCF of Denominators means GCF of 418,792 as per the given fractions.

GCF of 418,792 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,35

LCM of Fractions 54/418,35/792 is 1890/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 1890

Least Common Multiple of 54,35 with GCF Formula

Least Common Multiple of 54,35 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 54,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,35) = 1

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

GCF(54,35) x common factors =1 x 1 = 1

LCM(54,35) = ( 54 × 35 ) / 1

LCM(54,35) = 1890 / 1

LCM(54,35) = 1890


Lets's calculate GCF of 418,792

2 418, 792
11 209, 396
19, 36

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1890/22

Therefore the LCM of Fractions 54/418,35/792 is 1890/22

Greatest Common Factor of 418,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,792 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 418,792 . The biggest common factor number is the GCF number.
So the greatest common factor 418,792 is 22.


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 54/418, 35/792

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 54/418, 35/792?

Answer: LCM of Numerators as per given numbers 54/418, 35/792 is

LCM of Numerators i.e. for 54,35 is 1890

GCF of denominators i.e. for 418,792 is 22.

Thus, LCM of Fractions is 1890/22.Finally, LCM of Fractions for 54/418, 35/792 is 1890/22.