Least Common Multiple of 5453/344, 9835/3418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5453/344, 9835/3418 quickly i.e. 7661465/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5453/344, 9835/3418 is 7661465/2.

LCM(5453/344, 9835/3418) = 7661465/2

LCM of 5453/344, 9835/3418

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 5453/344,9835/3418

Given numbers are 5453/344,9835/3418

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 5453,9835

Least Common Multiple of Numerators i.e. LCM of 5453,9835 is 7661465.

GCF of Denominators means GCF of 344,3418 as per the given fractions.

GCF of 344,3418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5453,9835

LCM of Fractions 5453/344,9835/3418 is 7661465/2

7 5453, 9835
779, 1405

∴ So the LCM of the given numbers is 7 x 779 x 1405 = 7661465

Least Common Multiple of 5453,9835 with GCF Formula

Least Common Multiple of 5453,9835 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 5453,9835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5453,9835) = 7

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

GCF(5453,9835) x common factors =7 x 1 = 7

LCM(5453,9835) = ( 5453 × 9835 ) / 7

LCM(5453,9835) = 53630255 / 7

LCM(5453,9835) = 7661465


Lets's calculate GCF of 344,3418

2 344, 3418
172, 1709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7661465/2

Therefore the LCM of Fractions 5453/344,9835/3418 is 7661465/2

Greatest Common Factor of 344,3418 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,3418 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 3418

List of positive integer factors of 3418 that divides 3418 without a remainder.

1,2,1709,3418

Greatest Common Factor

We found the factors 344,3418 . The biggest common factor number is the GCF number.
So the greatest common factor 344,3418 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 5453/344, 9835/3418

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 5453/344, 9835/3418?

Answer: LCM of Numerators as per given numbers 5453/344, 9835/3418 is

LCM of Numerators i.e. for 5453,9835 is 7661465

GCF of denominators i.e. for 344,3418 is 2.

Thus, LCM of Fractions is 7661465/2.Finally, LCM of Fractions for 5453/344, 9835/3418 is 7661465/2.