Least Common Multiple of 35/672, 5183/5454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/672, 5183/5454 quickly i.e. 181405/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/672, 5183/5454 is 181405/6.

LCM(35/672, 5183/5454) = 181405/6

LCM of 35/672, 5183/5454

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 35/672,5183/5454

Given numbers are 35/672,5183/5454

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 35,5183

Least Common Multiple of Numerators i.e. LCM of 35,5183 is 181405.

GCF of Denominators means GCF of 672,5454 as per the given fractions.

GCF of 672,5454 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,5183

LCM of Fractions 35/672,5183/5454 is 181405/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 181405

Least Common Multiple of 35,5183 with GCF Formula

Least Common Multiple of 35,5183 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 35,5183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,5183) = 1

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

GCF(35,5183) x common factors =1 x 1 = 1

LCM(35,5183) = ( 35 × 5183 ) / 1

LCM(35,5183) = 181405 / 1

LCM(35,5183) = 181405


Lets's calculate GCF of 672,5454

2 672, 5454
3 336, 2727
112, 909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181405/6

Therefore the LCM of Fractions 35/672,5183/5454 is 181405/6

Greatest Common Factor of 672,5454 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,5454 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 5454

List of positive integer factors of 5454 that divides 5454 without a remainder.

1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454

Greatest Common Factor

We found the factors 672,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 672,5454 is 6.


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 35/672, 5183/5454

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 35/672, 5183/5454?

Answer: LCM of Numerators as per given numbers 35/672, 5183/5454 is

LCM of Numerators i.e. for 35,5183 is 181405

GCF of denominators i.e. for 672,5454 is 6.

Thus, LCM of Fractions is 181405/6.Finally, LCM of Fractions for 35/672, 5183/5454 is 181405/6.