Least Common Multiple of 150/69, 334/62, 214/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/69, 334/62, 214/300 quickly i.e. 2680350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/69, 334/62, 214/300 is 2680350.

LCM(150/69, 334/62, 214/300) = 2680350

LCM of 150/69, 334/62, 214/300

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 150/69,334/62,214/300

Given numbers are 150/69,334/62,214/300

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 150,334,214

Least Common Multiple of Numerators i.e. LCM of 150,334,214 is 2680350.

GCF of Denominators means GCF of 69,62,300 as per the given fractions.

GCF of 69,62,300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,334,214

LCM of Fractions 150/69,334/62,214/300 is 2680350

2 150, 334, 214
75, 167, 107

∴ So the LCM of the given numbers is 2 x 75 x 167 x 107 = 2680350

Least Common Multiple of 150,334,214 with GCF Formula

Least Common Multiple of 150,334,214 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 150,334,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,334,214) = 2

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

GCF(150,334,214) x common factors =2 x 2 = 4

LCM(150,334,214) = ( 150 × 334 × 214 ) / 4

LCM(150,334,214) = 10721400 / 4

LCM(150,334,214) = 2680350


Lets's calculate GCF of 69,62,300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2680350/1

Therefore the LCM of Fractions 150/69,334/62,214/300 is 2680350

Greatest Common Factor of 69,62,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,62,300 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 69,62,300 . The biggest common factor number is the GCF number.
So the greatest common factor 69,62,300 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 150/69, 334/62, 214/300

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 150/69, 334/62, 214/300?

Answer: LCM of Numerators as per given numbers 150/69, 334/62, 214/300 is

LCM of Numerators i.e. for 150,334,214 is 2680350

GCF of denominators i.e. for 69,62,300 is 1.

Thus, LCM of Fractions is 2680350.Finally, LCM of Fractions for 150/69, 334/62, 214/300 is 2680350.