Least Common Multiple of 200/58, 302/7640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/58, 302/7640 quickly i.e. 15100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/58, 302/7640 is 15100.

LCM(200/58, 302/7640) = 15100

LCM of 200/58, 302/7640

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 200/58,302/7640

Given numbers are 200/58,302/7640

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 200,302

Least Common Multiple of Numerators i.e. LCM of 200,302 is 30200.

GCF of Denominators means GCF of 58,7640 as per the given fractions.

GCF of 58,7640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,302

LCM of Fractions 200/58,302/7640 is 15100

2 200, 302
100, 151

∴ So the LCM of the given numbers is 2 x 100 x 151 = 30200

Least Common Multiple of 200,302 with GCF Formula

Least Common Multiple of 200,302 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 200,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,302) = 2

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

GCF(200,302) x common factors =2 x 1 = 2

LCM(200,302) = ( 200 × 302 ) / 2

LCM(200,302) = 60400 / 2

LCM(200,302) = 30200


Lets's calculate GCF of 58,7640

2 58, 7640
29, 3820

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30200/2

Therefore the LCM of Fractions 200/58,302/7640 is 15100

Greatest Common Factor of 58,7640 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,7640 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 58,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 58,7640 is 2.


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 200/58, 302/7640

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 200/58, 302/7640?

Answer: LCM of Numerators as per given numbers 200/58, 302/7640 is

LCM of Numerators i.e. for 200,302 is 30200

GCF of denominators i.e. for 58,7640 is 2.

Thus, LCM of Fractions is 15100.Finally, LCM of Fractions for 200/58, 302/7640 is 15100.