Least Common Multiple of 6746/248, 6374/2590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6746/248, 6374/2590 quickly i.e. 10749751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6746/248, 6374/2590 is 10749751.

LCM(6746/248, 6374/2590) = 10749751

LCM of 6746/248, 6374/2590

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 6746/248,6374/2590

Given numbers are 6746/248,6374/2590

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 6746,6374

Least Common Multiple of Numerators i.e. LCM of 6746,6374 is 21499502.

GCF of Denominators means GCF of 248,2590 as per the given fractions.

GCF of 248,2590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6746,6374

LCM of Fractions 6746/248,6374/2590 is 10749751

2 6746, 6374
3373, 3187

∴ So the LCM of the given numbers is 2 x 3373 x 3187 = 21499502

Least Common Multiple of 6746,6374 with GCF Formula

Least Common Multiple of 6746,6374 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 6746,6374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6746,6374) = 2

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

GCF(6746,6374) x common factors =2 x 1 = 2

LCM(6746,6374) = ( 6746 × 6374 ) / 2

LCM(6746,6374) = 42999004 / 2

LCM(6746,6374) = 21499502


Lets's calculate GCF of 248,2590

2 248, 2590
124, 1295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21499502/2

Therefore the LCM of Fractions 6746/248,6374/2590 is 10749751

Greatest Common Factor of 248,2590 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,2590 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 2590

List of positive integer factors of 2590 that divides 2590 without a remainder.

1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590

Greatest Common Factor

We found the factors 248,2590 . The biggest common factor number is the GCF number.
So the greatest common factor 248,2590 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 6746/248, 6374/2590

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 6746/248, 6374/2590?

Answer: LCM of Numerators as per given numbers 6746/248, 6374/2590 is

LCM of Numerators i.e. for 6746,6374 is 21499502

GCF of denominators i.e. for 248,2590 is 2.

Thus, LCM of Fractions is 10749751.Finally, LCM of Fractions for 6746/248, 6374/2590 is 10749751.