Least Common Multiple of 542/48, 690/5911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/48, 690/5911 quickly i.e. 186990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/48, 690/5911 is 186990.

LCM(542/48, 690/5911) = 186990

LCM of 542/48, 690/5911

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 542/48,690/5911

Given numbers are 542/48,690/5911

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 542,690

Least Common Multiple of Numerators i.e. LCM of 542,690 is 186990.

GCF of Denominators means GCF of 48,5911 as per the given fractions.

GCF of 48,5911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,690

LCM of Fractions 542/48,690/5911 is 186990

2 542, 690
271, 345

∴ So the LCM of the given numbers is 2 x 271 x 345 = 186990

Least Common Multiple of 542,690 with GCF Formula

Least Common Multiple of 542,690 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 542,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,690) = 2

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

GCF(542,690) x common factors =2 x 1 = 2

LCM(542,690) = ( 542 × 690 ) / 2

LCM(542,690) = 373980 / 2

LCM(542,690) = 186990


Lets's calculate GCF of 48,5911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186990/1

Therefore the LCM of Fractions 542/48,690/5911 is 186990

Greatest Common Factor of 48,5911 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,5911 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 5911

List of positive integer factors of 5911 that divides 5911 without a remainder.

1,23,257,5911

Greatest Common Factor

We found the factors 48,5911 . The biggest common factor number is the GCF number.
So the greatest common factor 48,5911 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 542/48, 690/5911

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 542/48, 690/5911?

Answer: LCM of Numerators as per given numbers 542/48, 690/5911 is

LCM of Numerators i.e. for 542,690 is 186990

GCF of denominators i.e. for 48,5911 is 1.

Thus, LCM of Fractions is 186990.Finally, LCM of Fractions for 542/48, 690/5911 is 186990.