Least Common Multiple of 60/292, 4168/3254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/292, 4168/3254 quickly i.e. 31260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/292, 4168/3254 is 31260.

LCM(60/292, 4168/3254) = 31260

LCM of 60/292, 4168/3254

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 60/292,4168/3254

Given numbers are 60/292,4168/3254

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 60,4168

Least Common Multiple of Numerators i.e. LCM of 60,4168 is 62520.

GCF of Denominators means GCF of 292,3254 as per the given fractions.

GCF of 292,3254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,4168

LCM of Fractions 60/292,4168/3254 is 31260

2 60, 4168
2 30, 2084
15, 1042

∴ So the LCM of the given numbers is 2 x 2 x 15 x 1042 = 62520

Least Common Multiple of 60,4168 with GCF Formula

Least Common Multiple of 60,4168 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 60,4168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,4168) = 4

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

GCF(60,4168) x common factors =4 x 1 = 4

LCM(60,4168) = ( 60 × 4168 ) / 4

LCM(60,4168) = 250080 / 4

LCM(60,4168) = 62520


Lets's calculate GCF of 292,3254

2 292, 3254
146, 1627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62520/2

Therefore the LCM of Fractions 60/292,4168/3254 is 31260

Greatest Common Factor of 292,3254 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,3254 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 3254

List of positive integer factors of 3254 that divides 3254 without a remainder.

1,2,1627,3254

Greatest Common Factor

We found the factors 292,3254 . The biggest common factor number is the GCF number.
So the greatest common factor 292,3254 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 60/292, 4168/3254

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 60/292, 4168/3254?

Answer: LCM of Numerators as per given numbers 60/292, 4168/3254 is

LCM of Numerators i.e. for 60,4168 is 62520

GCF of denominators i.e. for 292,3254 is 2.

Thus, LCM of Fractions is 31260.Finally, LCM of Fractions for 60/292, 4168/3254 is 31260.