Least Common Multiple of 60/592, 4742/7611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/592, 4742/7611 quickly i.e. 142260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/592, 4742/7611 is 142260.

LCM(60/592, 4742/7611) = 142260

LCM of 60/592, 4742/7611

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 60/592,4742/7611

Given numbers are 60/592,4742/7611

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 60,4742

Least Common Multiple of Numerators i.e. LCM of 60,4742 is 142260.

GCF of Denominators means GCF of 592,7611 as per the given fractions.

GCF of 592,7611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,4742

LCM of Fractions 60/592,4742/7611 is 142260

2 60, 4742
30, 2371

∴ So the LCM of the given numbers is 2 x 30 x 2371 = 142260

Least Common Multiple of 60,4742 with GCF Formula

Least Common Multiple of 60,4742 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 60,4742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,4742) = 2

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

GCF(60,4742) x common factors =2 x 1 = 2

LCM(60,4742) = ( 60 × 4742 ) / 2

LCM(60,4742) = 284520 / 2

LCM(60,4742) = 142260


Lets's calculate GCF of 592,7611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142260/1

Therefore the LCM of Fractions 60/592,4742/7611 is 142260

Greatest Common Factor of 592,7611 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,7611 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 7611

List of positive integer factors of 7611 that divides 7611 without a remainder.

1,3,43,59,129,177,2537,7611

Greatest Common Factor

We found the factors 592,7611 . The biggest common factor number is the GCF number.
So the greatest common factor 592,7611 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 60/592, 4742/7611

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 60/592, 4742/7611?

Answer: LCM of Numerators as per given numbers 60/592, 4742/7611 is

LCM of Numerators i.e. for 60,4742 is 142260

GCF of denominators i.e. for 592,7611 is 1.

Thus, LCM of Fractions is 142260.Finally, LCM of Fractions for 60/592, 4742/7611 is 142260.