Least Common Multiple of 4172/15, 6098/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4172/15, 6098/958 quickly i.e. 12720428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4172/15, 6098/958 is 12720428.

LCM(4172/15, 6098/958) = 12720428

LCM of 4172/15, 6098/958

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 4172/15,6098/958

Given numbers are 4172/15,6098/958

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 4172,6098

Least Common Multiple of Numerators i.e. LCM of 4172,6098 is 12720428.

GCF of Denominators means GCF of 15,958 as per the given fractions.

GCF of 15,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4172,6098

LCM of Fractions 4172/15,6098/958 is 12720428

2 4172, 6098
2086, 3049

∴ So the LCM of the given numbers is 2 x 2086 x 3049 = 12720428

Least Common Multiple of 4172,6098 with GCF Formula

Least Common Multiple of 4172,6098 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 4172,6098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4172,6098) = 2

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

GCF(4172,6098) x common factors =2 x 1 = 2

LCM(4172,6098) = ( 4172 × 6098 ) / 2

LCM(4172,6098) = 25440856 / 2

LCM(4172,6098) = 12720428


Lets's calculate GCF of 15,958

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12720428/1

Therefore the LCM of Fractions 4172/15,6098/958 is 12720428

Greatest Common Factor of 15,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,958 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 15,958 . The biggest common factor number is the GCF number.
So the greatest common factor 15,958 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4172/15, 6098/958

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 4172/15, 6098/958?

Answer: LCM of Numerators as per given numbers 4172/15, 6098/958 is

LCM of Numerators i.e. for 4172,6098 is 12720428

GCF of denominators i.e. for 15,958 is 1.

Thus, LCM of Fractions is 12720428.Finally, LCM of Fractions for 4172/15, 6098/958 is 12720428.