Least Common Multiple of 300/85, 100/21, 346/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/85, 100/21, 346/28 quickly i.e. 51900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/85, 100/21, 346/28 is 51900.

LCM(300/85, 100/21, 346/28) = 51900

LCM of 300/85, 100/21, 346/28

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 300/85,100/21,346/28

Given numbers are 300/85,100/21,346/28

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 300,100,346

Least Common Multiple of Numerators i.e. LCM of 300,100,346 is 51900.

GCF of Denominators means GCF of 85,21,28 as per the given fractions.

GCF of 85,21,28 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,100,346

LCM of Fractions 300/85,100/21,346/28 is 51900

2 300, 100, 346
2 150, 50, 173
5 75, 25, 173
5 15, 5, 173
3, 1, 173

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 3 x 1 x 173 = 51900

Least Common Multiple of 300,100,346 with GCF Formula

Least Common Multiple of 300,100,346 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 300,100,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,100,346) = 2

common factors(in case of two or more numbers have common factors) = 100

GCF(300,100,346) x common factors =2 x 100 = 200

LCM(300,100,346) = ( 300 × 100 × 346 ) / 200

LCM(300,100,346) = 10380000 / 200

LCM(300,100,346) = 51900


Lets's calculate GCF of 85,21,28

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51900/1

Therefore the LCM of Fractions 300/85,100/21,346/28 is 51900

Greatest Common Factor of 85,21,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,21,28 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 85,21,28 . The biggest common factor number is the GCF number.
So the greatest common factor 85,21,28 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 300/85, 100/21, 346/28

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 300/85, 100/21, 346/28?

Answer: LCM of Numerators as per given numbers 300/85, 100/21, 346/28 is

LCM of Numerators i.e. for 300,100,346 is 51900

GCF of denominators i.e. for 85,21,28 is 1.

Thus, LCM of Fractions is 51900.Finally, LCM of Fractions for 300/85, 100/21, 346/28 is 51900.