Least Common Multiple of 4298/921, 1234/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4298/921, 1234/198 quickly i.e. 2651866/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4298/921, 1234/198 is 2651866/3.

LCM(4298/921, 1234/198) = 2651866/3

LCM of 4298/921, 1234/198

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 4298/921,1234/198

Given numbers are 4298/921,1234/198

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 4298,1234

Least Common Multiple of Numerators i.e. LCM of 4298,1234 is 2651866.

GCF of Denominators means GCF of 921,198 as per the given fractions.

GCF of 921,198 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4298,1234

LCM of Fractions 4298/921,1234/198 is 2651866/3

2 4298, 1234
2149, 617

∴ So the LCM of the given numbers is 2 x 2149 x 617 = 2651866

Least Common Multiple of 4298,1234 with GCF Formula

Least Common Multiple of 4298,1234 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 4298,1234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4298,1234) = 2

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

GCF(4298,1234) x common factors =2 x 1 = 2

LCM(4298,1234) = ( 4298 × 1234 ) / 2

LCM(4298,1234) = 5303732 / 2

LCM(4298,1234) = 2651866


Lets's calculate GCF of 921,198

3 921, 198
307, 66

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2651866/3

Therefore the LCM of Fractions 4298/921,1234/198 is 2651866/3

Greatest Common Factor of 921,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,198 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 921,198 . The biggest common factor number is the GCF number.
So the greatest common factor 921,198 is 3.


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 4298/921, 1234/198

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 4298/921, 1234/198?

Answer: LCM of Numerators as per given numbers 4298/921, 1234/198 is

LCM of Numerators i.e. for 4298,1234 is 2651866

GCF of denominators i.e. for 921,198 is 3.

Thus, LCM of Fractions is 2651866/3.Finally, LCM of Fractions for 4298/921, 1234/198 is 2651866/3.