Least Common Multiple of 383/748, 2562/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 383/748, 2562/781 quickly i.e. 981246/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 383/748, 2562/781 is 981246/11.

LCM(383/748, 2562/781) = 981246/11

LCM of 383/748, 2562/781

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 383/748,2562/781

Given numbers are 383/748,2562/781

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 383,2562

Least Common Multiple of Numerators i.e. LCM of 383,2562 is 981246.

GCF of Denominators means GCF of 748,781 as per the given fractions.

GCF of 748,781 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 383,2562

LCM of Fractions 383/748,2562/781 is 981246/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 981246

Least Common Multiple of 383,2562 with GCF Formula

Least Common Multiple of 383,2562 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 383,2562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,2562) = 1

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

GCF(383,2562) x common factors =1 x 1 = 1

LCM(383,2562) = ( 383 × 2562 ) / 1

LCM(383,2562) = 981246 / 1

LCM(383,2562) = 981246


Lets's calculate GCF of 748,781

11 748, 781
68, 71

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 981246/11

Therefore the LCM of Fractions 383/748,2562/781 is 981246/11

Greatest Common Factor of 748,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,781 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 748,781 . The biggest common factor number is the GCF number.
So the greatest common factor 748,781 is 11.


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 383/748, 2562/781

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 383/748, 2562/781?

Answer: LCM of Numerators as per given numbers 383/748, 2562/781 is

LCM of Numerators i.e. for 383,2562 is 981246

GCF of denominators i.e. for 748,781 is 11.

Thus, LCM of Fractions is 981246/11.Finally, LCM of Fractions for 383/748, 2562/781 is 981246/11.