Least Common Multiple of 300/67, 869/36, 334/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/67, 869/36, 334/940 quickly i.e. 43536900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/67, 869/36, 334/940 is 43536900.

LCM(300/67, 869/36, 334/940) = 43536900

LCM of 300/67, 869/36, 334/940

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 300/67,869/36,334/940

Given numbers are 300/67,869/36,334/940

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 300,869,334

Least Common Multiple of Numerators i.e. LCM of 300,869,334 is 43536900.

GCF of Denominators means GCF of 67,36,940 as per the given fractions.

GCF of 67,36,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,869,334

LCM of Fractions 300/67,869/36,334/940 is 43536900

2 300, 869, 334
150, 869, 167

∴ So the LCM of the given numbers is 2 x 150 x 869 x 167 = 43536900

Least Common Multiple of 300,869,334 with GCF Formula

Least Common Multiple of 300,869,334 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 300,869,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,869,334) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(300,869,334) x common factors =1 x 2 = 2

LCM(300,869,334) = ( 300 × 869 × 334 ) / 2

LCM(300,869,334) = 87073800 / 2

LCM(300,869,334) = 43536900


Lets's calculate GCF of 67,36,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43536900/1

Therefore the LCM of Fractions 300/67,869/36,334/940 is 43536900

Greatest Common Factor of 67,36,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,36,940 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 67,36,940 . The biggest common factor number is the GCF number.
So the greatest common factor 67,36,940 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 300/67, 869/36, 334/940

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 300/67, 869/36, 334/940?

Answer: LCM of Numerators as per given numbers 300/67, 869/36, 334/940 is

LCM of Numerators i.e. for 300,869,334 is 43536900

GCF of denominators i.e. for 67,36,940 is 1.

Thus, LCM of Fractions is 43536900.Finally, LCM of Fractions for 300/67, 869/36, 334/940 is 43536900.