Least Common Multiple of 492/68, 230/2561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/68, 230/2561 quickly i.e. 56580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/68, 230/2561 is 56580.

LCM(492/68, 230/2561) = 56580

LCM of 492/68, 230/2561

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 492/68,230/2561

Given numbers are 492/68,230/2561

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 492,230

Least Common Multiple of Numerators i.e. LCM of 492,230 is 56580.

GCF of Denominators means GCF of 68,2561 as per the given fractions.

GCF of 68,2561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,230

LCM of Fractions 492/68,230/2561 is 56580

2 492, 230
246, 115

∴ So the LCM of the given numbers is 2 x 246 x 115 = 56580

Least Common Multiple of 492,230 with GCF Formula

Least Common Multiple of 492,230 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 492,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,230) = 2

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

GCF(492,230) x common factors =2 x 1 = 2

LCM(492,230) = ( 492 × 230 ) / 2

LCM(492,230) = 113160 / 2

LCM(492,230) = 56580


Lets's calculate GCF of 68,2561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56580/1

Therefore the LCM of Fractions 492/68,230/2561 is 56580

Greatest Common Factor of 68,2561 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,2561 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 2561

List of positive integer factors of 2561 that divides 2561 without a remainder.

1,13,197,2561

Greatest Common Factor

We found the factors 68,2561 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2561 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 492/68, 230/2561

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 492/68, 230/2561?

Answer: LCM of Numerators as per given numbers 492/68, 230/2561 is

LCM of Numerators i.e. for 492,230 is 56580

GCF of denominators i.e. for 68,2561 is 1.

Thus, LCM of Fractions is 56580.Finally, LCM of Fractions for 492/68, 230/2561 is 56580.