Least Common Multiple of 9254/491, 4154/3438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9254/491, 4154/3438 quickly i.e. 19220558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9254/491, 4154/3438 is 19220558.

LCM(9254/491, 4154/3438) = 19220558

LCM of 9254/491, 4154/3438

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 9254/491,4154/3438

Given numbers are 9254/491,4154/3438

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 9254,4154

Least Common Multiple of Numerators i.e. LCM of 9254,4154 is 19220558.

GCF of Denominators means GCF of 491,3438 as per the given fractions.

GCF of 491,3438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9254,4154

LCM of Fractions 9254/491,4154/3438 is 19220558

2 9254, 4154
4627, 2077

∴ So the LCM of the given numbers is 2 x 4627 x 2077 = 19220558

Least Common Multiple of 9254,4154 with GCF Formula

Least Common Multiple of 9254,4154 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 9254,4154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9254,4154) = 2

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

GCF(9254,4154) x common factors =2 x 1 = 2

LCM(9254,4154) = ( 9254 × 4154 ) / 2

LCM(9254,4154) = 38441116 / 2

LCM(9254,4154) = 19220558


Lets's calculate GCF of 491,3438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19220558/1

Therefore the LCM of Fractions 9254/491,4154/3438 is 19220558

Greatest Common Factor of 491,3438 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,3438 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Greatest Common Factor

We found the factors 491,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 491,3438 is 1.


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 9254/491, 4154/3438

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 9254/491, 4154/3438?

Answer: LCM of Numerators as per given numbers 9254/491, 4154/3438 is

LCM of Numerators i.e. for 9254,4154 is 19220558

GCF of denominators i.e. for 491,3438 is 1.

Thus, LCM of Fractions is 19220558.Finally, LCM of Fractions for 9254/491, 4154/3438 is 19220558.