Least Common Multiple of 458/91, 628/7113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/91, 628/7113 quickly i.e. 143812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/91, 628/7113 is 143812.

LCM(458/91, 628/7113) = 143812

LCM of 458/91, 628/7113

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 458/91,628/7113

Given numbers are 458/91,628/7113

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 458,628

Least Common Multiple of Numerators i.e. LCM of 458,628 is 143812.

GCF of Denominators means GCF of 91,7113 as per the given fractions.

GCF of 91,7113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,628

LCM of Fractions 458/91,628/7113 is 143812

2 458, 628
229, 314

∴ So the LCM of the given numbers is 2 x 229 x 314 = 143812

Least Common Multiple of 458,628 with GCF Formula

Least Common Multiple of 458,628 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 458,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,628) = 2

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

GCF(458,628) x common factors =2 x 1 = 2

LCM(458,628) = ( 458 × 628 ) / 2

LCM(458,628) = 287624 / 2

LCM(458,628) = 143812


Lets's calculate GCF of 91,7113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143812/1

Therefore the LCM of Fractions 458/91,628/7113 is 143812

Greatest Common Factor of 91,7113 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,7113 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 7113

List of positive integer factors of 7113 that divides 7113 without a remainder.

1,3,2371,7113

Greatest Common Factor

We found the factors 91,7113 . The biggest common factor number is the GCF number.
So the greatest common factor 91,7113 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 458/91, 628/7113

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 458/91, 628/7113?

Answer: LCM of Numerators as per given numbers 458/91, 628/7113 is

LCM of Numerators i.e. for 458,628 is 143812

GCF of denominators i.e. for 91,7113 is 1.

Thus, LCM of Fractions is 143812.Finally, LCM of Fractions for 458/91, 628/7113 is 143812.