Least Common Multiple of 241/610, 5630/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 241/610, 5630/254 quickly i.e. 678415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/610, 5630/254 is 678415.

LCM(241/610, 5630/254) = 678415

LCM of 241/610, 5630/254

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 241/610,5630/254

Given numbers are 241/610,5630/254

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 241,5630

Least Common Multiple of Numerators i.e. LCM of 241,5630 is 1356830.

GCF of Denominators means GCF of 610,254 as per the given fractions.

GCF of 610,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,5630

LCM of Fractions 241/610,5630/254 is 678415

Given numbers has no common factors except 1. So, there LCM is their product i.e 1356830

Least Common Multiple of 241,5630 with GCF Formula

Least Common Multiple of 241,5630 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 241,5630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,5630) = 1

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

GCF(241,5630) x common factors =1 x 1 = 1

LCM(241,5630) = ( 241 × 5630 ) / 1

LCM(241,5630) = 1356830 / 1

LCM(241,5630) = 1356830


Lets's calculate GCF of 610,254

2 610, 254
305, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1356830/2

Therefore the LCM of Fractions 241/610,5630/254 is 678415

Greatest Common Factor of 610,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,254 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 610,254 . The biggest common factor number is the GCF number.
So the greatest common factor 610,254 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 241/610, 5630/254

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 241/610, 5630/254?

Answer: LCM of Numerators as per given numbers 241/610, 5630/254 is

LCM of Numerators i.e. for 241,5630 is 1356830

GCF of denominators i.e. for 610,254 is 2.

Thus, LCM of Fractions is 678415.Finally, LCM of Fractions for 241/610, 5630/254 is 678415.