Least Common Multiple of 301/69, 150/6078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/69, 150/6078 quickly i.e. 15050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/69, 150/6078 is 15050.

LCM(301/69, 150/6078) = 15050

LCM of 301/69, 150/6078

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 301/69,150/6078

Given numbers are 301/69,150/6078

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 301,150

Least Common Multiple of Numerators i.e. LCM of 301,150 is 45150.

GCF of Denominators means GCF of 69,6078 as per the given fractions.

GCF of 69,6078 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,150

LCM of Fractions 301/69,150/6078 is 15050

Given numbers has no common factors except 1. So, there LCM is their product i.e 45150

Least Common Multiple of 301,150 with GCF Formula

Least Common Multiple of 301,150 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 301,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,150) = 1

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

GCF(301,150) x common factors =1 x 1 = 1

LCM(301,150) = ( 301 × 150 ) / 1

LCM(301,150) = 45150 / 1

LCM(301,150) = 45150


Lets's calculate GCF of 69,6078

3 69, 6078
23, 2026

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45150/3

Therefore the LCM of Fractions 301/69,150/6078 is 15050

Greatest Common Factor of 69,6078 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,6078 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 6078

List of positive integer factors of 6078 that divides 6078 without a remainder.

1,2,3,6,1013,2026,3039,6078

Greatest Common Factor

We found the factors 69,6078 . The biggest common factor number is the GCF number.
So the greatest common factor 69,6078 is 3.


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 301/69, 150/6078

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 301/69, 150/6078?

Answer: LCM of Numerators as per given numbers 301/69, 150/6078 is

LCM of Numerators i.e. for 301,150 is 45150

GCF of denominators i.e. for 69,6078 is 3.

Thus, LCM of Fractions is 15050.Finally, LCM of Fractions for 301/69, 150/6078 is 15050.