Least Common Multiple of 87/200, 842/790, 928/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/200, 842/790, 928/309 quickly i.e. 1172064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/200, 842/790, 928/309 is 1172064.

LCM(87/200, 842/790, 928/309) = 1172064

LCM of 87/200, 842/790, 928/309

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 87/200,842/790,928/309

Given numbers are 87/200,842/790,928/309

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 87,842,928

Least Common Multiple of Numerators i.e. LCM of 87,842,928 is 1172064.

GCF of Denominators means GCF of 200,790,309 as per the given fractions.

GCF of 200,790,309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,842,928

LCM of Fractions 87/200,842/790,928/309 is 1172064

2 87, 842, 928
29 87, 421, 464
3, 421, 16

∴ So the LCM of the given numbers is 2 x 29 x 3 x 421 x 16 = 1172064

Least Common Multiple of 87,842,928 with GCF Formula

Least Common Multiple of 87,842,928 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 87,842,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,842,928) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(87,842,928) x common factors =1 x 58 = 58

LCM(87,842,928) = ( 87 × 842 × 928 ) / 58

LCM(87,842,928) = 67979712 / 58

LCM(87,842,928) = 1172064


Lets's calculate GCF of 200,790,309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1172064/1

Therefore the LCM of Fractions 87/200,842/790,928/309 is 1172064

Greatest Common Factor of 200,790,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,790,309 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 200,790,309 . The biggest common factor number is the GCF number.
So the greatest common factor 200,790,309 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 87/200, 842/790, 928/309

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 87/200, 842/790, 928/309?

Answer: LCM of Numerators as per given numbers 87/200, 842/790, 928/309 is

LCM of Numerators i.e. for 87,842,928 is 1172064

GCF of denominators i.e. for 200,790,309 is 1.

Thus, LCM of Fractions is 1172064.Finally, LCM of Fractions for 87/200, 842/790, 928/309 is 1172064.