Least Common Multiple of 75/12, 55/45, 23/68, 30/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/12, 55/45, 23/68, 30/67 quickly i.e. 37950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/12, 55/45, 23/68, 30/67 is 37950.

LCM(75/12, 55/45, 23/68, 30/67) = 37950

LCM of 75/12, 55/45, 23/68, 30/67

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 75/12,55/45,23/68,30/67

Given numbers are 75/12,55/45,23/68,30/67

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 75,55,23,30

Least Common Multiple of Numerators i.e. LCM of 75,55,23,30 is 37950.

GCF of Denominators means GCF of 12,45,68,67 as per the given fractions.

GCF of 12,45,68,67 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,55,23,30

LCM of Fractions 75/12,55/45,23/68,30/67 is 37950

3 75, 55, 23, 30
5 25, 55, 23, 10
5, 11, 23, 2

∴ So the LCM of the given numbers is 3 x 5 x 5 x 11 x 23 x 2 = 37950

Least Common Multiple of 75,55,23,30 with GCF Formula

Least Common Multiple of 75,55,23,30 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 75,55,23,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,55,23,30) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(75,55,23,30) x common factors =1 x 75 = 75

LCM(75,55,23,30) = ( 75 × 55 × 23 × 30 ) / 75

LCM(75,55,23,30) = 2846250 / 75

LCM(75,55,23,30) = 37950


Lets's calculate GCF of 12,45,68,67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37950/1

Therefore the LCM of Fractions 75/12,55/45,23/68,30/67 is 37950

Greatest Common Factor of 12,45,68,67 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,45,68,67 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 67

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

1,67

Greatest Common Factor

We found the factors 12,45,68,67 . The biggest common factor number is the GCF number.
So the greatest common factor 12,45,68,67 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 75/12, 55/45, 23/68, 30/67

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 75/12, 55/45, 23/68, 30/67?

Answer: LCM of Numerators as per given numbers 75/12, 55/45, 23/68, 30/67 is

LCM of Numerators i.e. for 75,55,23,30 is 37950

GCF of denominators i.e. for 12,45,68,67 is 1.

Thus, LCM of Fractions is 37950.Finally, LCM of Fractions for 75/12, 55/45, 23/68, 30/67 is 37950.