Least Common Multiple of 7645/913, 5409/3136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7645/913, 5409/3136 quickly i.e. 41351805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7645/913, 5409/3136 is 41351805.

LCM(7645/913, 5409/3136) = 41351805

LCM of 7645/913, 5409/3136

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 7645/913,5409/3136

Given numbers are 7645/913,5409/3136

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 7645,5409

Least Common Multiple of Numerators i.e. LCM of 7645,5409 is 41351805.

GCF of Denominators means GCF of 913,3136 as per the given fractions.

GCF of 913,3136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7645,5409

LCM of Fractions 7645/913,5409/3136 is 41351805

Given numbers has no common factors except 1. So, there LCM is their product i.e 41351805

Least Common Multiple of 7645,5409 with GCF Formula

Least Common Multiple of 7645,5409 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 7645,5409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7645,5409) = 1

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

GCF(7645,5409) x common factors =1 x 1 = 1

LCM(7645,5409) = ( 7645 × 5409 ) / 1

LCM(7645,5409) = 41351805 / 1

LCM(7645,5409) = 41351805


Lets's calculate GCF of 913,3136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41351805/1

Therefore the LCM of Fractions 7645/913,5409/3136 is 41351805

Greatest Common Factor of 913,3136 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,3136 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136

Greatest Common Factor

We found the factors 913,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 913,3136 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 7645/913, 5409/3136

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 7645/913, 5409/3136?

Answer: LCM of Numerators as per given numbers 7645/913, 5409/3136 is

LCM of Numerators i.e. for 7645,5409 is 41351805

GCF of denominators i.e. for 913,3136 is 1.

Thus, LCM of Fractions is 41351805.Finally, LCM of Fractions for 7645/913, 5409/3136 is 41351805.