Least Common Multiple of 464/913, 7117/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/913, 7117/627 quickly i.e. 300208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/913, 7117/627 is 300208.

LCM(464/913, 7117/627) = 300208

LCM of 464/913, 7117/627

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 464/913,7117/627

Given numbers are 464/913,7117/627

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 464,7117

Least Common Multiple of Numerators i.e. LCM of 464,7117 is 3302288.

GCF of Denominators means GCF of 913,627 as per the given fractions.

GCF of 913,627 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,7117

LCM of Fractions 464/913,7117/627 is 300208

Given numbers has no common factors except 1. So, there LCM is their product i.e 3302288

Least Common Multiple of 464,7117 with GCF Formula

Least Common Multiple of 464,7117 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 464,7117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,7117) = 1

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

GCF(464,7117) x common factors =1 x 1 = 1

LCM(464,7117) = ( 464 × 7117 ) / 1

LCM(464,7117) = 3302288 / 1

LCM(464,7117) = 3302288


Lets's calculate GCF of 913,627

11 913, 627
83, 57

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3302288/11

Therefore the LCM of Fractions 464/913,7117/627 is 300208

Greatest Common Factor of 913,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,627 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 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 913,627 . The biggest common factor number is the GCF number.
So the greatest common factor 913,627 is 11.


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 464/913, 7117/627

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 464/913, 7117/627?

Answer: LCM of Numerators as per given numbers 464/913, 7117/627 is

LCM of Numerators i.e. for 464,7117 is 3302288

GCF of denominators i.e. for 913,627 is 11.

Thus, LCM of Fractions is 300208.Finally, LCM of Fractions for 464/913, 7117/627 is 300208.