Least Common Multiple of 2174/248, 5630/1398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2174/248, 5630/1398 quickly i.e. 3059905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2174/248, 5630/1398 is 3059905.

LCM(2174/248, 5630/1398) = 3059905

LCM of 2174/248, 5630/1398

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 2174/248,5630/1398

Given numbers are 2174/248,5630/1398

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 2174,5630

Least Common Multiple of Numerators i.e. LCM of 2174,5630 is 6119810.

GCF of Denominators means GCF of 248,1398 as per the given fractions.

GCF of 248,1398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2174,5630

LCM of Fractions 2174/248,5630/1398 is 3059905

2 2174, 5630
1087, 2815

∴ So the LCM of the given numbers is 2 x 1087 x 2815 = 6119810

Least Common Multiple of 2174,5630 with GCF Formula

Least Common Multiple of 2174,5630 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 2174,5630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2174,5630) = 2

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

GCF(2174,5630) x common factors =2 x 1 = 2

LCM(2174,5630) = ( 2174 × 5630 ) / 2

LCM(2174,5630) = 12239620 / 2

LCM(2174,5630) = 6119810


Lets's calculate GCF of 248,1398

2 248, 1398
124, 699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6119810/2

Therefore the LCM of Fractions 2174/248,5630/1398 is 3059905

Greatest Common Factor of 248,1398 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,1398 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 1398

List of positive integer factors of 1398 that divides 1398 without a remainder.

1,2,3,6,233,466,699,1398

Greatest Common Factor

We found the factors 248,1398 . The biggest common factor number is the GCF number.
So the greatest common factor 248,1398 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 2174/248, 5630/1398

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 2174/248, 5630/1398?

Answer: LCM of Numerators as per given numbers 2174/248, 5630/1398 is

LCM of Numerators i.e. for 2174,5630 is 6119810

GCF of denominators i.e. for 248,1398 is 2.

Thus, LCM of Fractions is 3059905.Finally, LCM of Fractions for 2174/248, 5630/1398 is 3059905.