Least Common Multiple of 709/468, 5512/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/468, 5512/845 quickly i.e. 300616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/468, 5512/845 is 300616.

LCM(709/468, 5512/845) = 300616

LCM of 709/468, 5512/845

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 709/468,5512/845

Given numbers are 709/468,5512/845

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 709,5512

Least Common Multiple of Numerators i.e. LCM of 709,5512 is 3908008.

GCF of Denominators means GCF of 468,845 as per the given fractions.

GCF of 468,845 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,5512

LCM of Fractions 709/468,5512/845 is 300616

Given numbers has no common factors except 1. So, there LCM is their product i.e 3908008

Least Common Multiple of 709,5512 with GCF Formula

Least Common Multiple of 709,5512 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 709,5512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,5512) = 1

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

GCF(709,5512) x common factors =1 x 1 = 1

LCM(709,5512) = ( 709 × 5512 ) / 1

LCM(709,5512) = 3908008 / 1

LCM(709,5512) = 3908008


Lets's calculate GCF of 468,845

13 468, 845
36, 65

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3908008/13

Therefore the LCM of Fractions 709/468,5512/845 is 300616

Greatest Common Factor of 468,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,845 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 468,845 . The biggest common factor number is the GCF number.
So the greatest common factor 468,845 is 13.


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 709/468, 5512/845

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 709/468, 5512/845?

Answer: LCM of Numerators as per given numbers 709/468, 5512/845 is

LCM of Numerators i.e. for 709,5512 is 3908008

GCF of denominators i.e. for 468,845 is 13.

Thus, LCM of Fractions is 300616.Finally, LCM of Fractions for 709/468, 5512/845 is 300616.