Least Common Multiple of 292/142, 8727/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 292/142, 8727/460 quickly i.e. 1274142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/142, 8727/460 is 1274142.

LCM(292/142, 8727/460) = 1274142

LCM of 292/142, 8727/460

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 292/142,8727/460

Given numbers are 292/142,8727/460

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 292,8727

Least Common Multiple of Numerators i.e. LCM of 292,8727 is 2548284.

GCF of Denominators means GCF of 142,460 as per the given fractions.

GCF of 142,460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,8727

LCM of Fractions 292/142,8727/460 is 1274142

Given numbers has no common factors except 1. So, there LCM is their product i.e 2548284

Least Common Multiple of 292,8727 with GCF Formula

Least Common Multiple of 292,8727 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 292,8727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,8727) = 1

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

GCF(292,8727) x common factors =1 x 1 = 1

LCM(292,8727) = ( 292 × 8727 ) / 1

LCM(292,8727) = 2548284 / 1

LCM(292,8727) = 2548284


Lets's calculate GCF of 142,460

2 142, 460
71, 230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2548284/2

Therefore the LCM of Fractions 292/142,8727/460 is 1274142

Greatest Common Factor of 142,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,460 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 142,460 . The biggest common factor number is the GCF number.
So the greatest common factor 142,460 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 292/142, 8727/460

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 292/142, 8727/460?

Answer: LCM of Numerators as per given numbers 292/142, 8727/460 is

LCM of Numerators i.e. for 292,8727 is 2548284

GCF of denominators i.e. for 142,460 is 2.

Thus, LCM of Fractions is 1274142.Finally, LCM of Fractions for 292/142, 8727/460 is 1274142.