Least Common Multiple of 948/84, 249/1398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 948/84, 249/1398 quickly i.e. 13114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 948/84, 249/1398 is 13114.

LCM(948/84, 249/1398) = 13114

LCM of 948/84, 249/1398

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 948/84,249/1398

Given numbers are 948/84,249/1398

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 948,249

Least Common Multiple of Numerators i.e. LCM of 948,249 is 78684.

GCF of Denominators means GCF of 84,1398 as per the given fractions.

GCF of 84,1398 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 948,249

LCM of Fractions 948/84,249/1398 is 13114

3 948, 249
316, 83

∴ So the LCM of the given numbers is 3 x 316 x 83 = 78684

Least Common Multiple of 948,249 with GCF Formula

Least Common Multiple of 948,249 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 948,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,249) = 3

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

GCF(948,249) x common factors =3 x 1 = 3

LCM(948,249) = ( 948 × 249 ) / 3

LCM(948,249) = 236052 / 3

LCM(948,249) = 78684


Lets's calculate GCF of 84,1398

2 84, 1398
3 42, 699
14, 233

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78684/6

Therefore the LCM of Fractions 948/84,249/1398 is 13114

Greatest Common Factor of 84,1398 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,1398 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 84,1398 . The biggest common factor number is the GCF number.
So the greatest common factor 84,1398 is 6.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 948/84, 249/1398

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 948/84, 249/1398?

Answer: LCM of Numerators as per given numbers 948/84, 249/1398 is

LCM of Numerators i.e. for 948,249 is 78684

GCF of denominators i.e. for 84,1398 is 6.

Thus, LCM of Fractions is 13114.Finally, LCM of Fractions for 948/84, 249/1398 is 13114.