Least Common Multiple of 30/38, 23/32, 10/51, 75/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/38, 23/32, 10/51, 75/745 quickly i.e. 3450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/38, 23/32, 10/51, 75/745 is 3450.

LCM(30/38, 23/32, 10/51, 75/745) = 3450

LCM of 30/38, 23/32, 10/51, 75/745

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 30/38,23/32,10/51,75/745

Given numbers are 30/38,23/32,10/51,75/745

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 30,23,10,75

Least Common Multiple of Numerators i.e. LCM of 30,23,10,75 is 3450.

GCF of Denominators means GCF of 38,32,51,745 as per the given fractions.

GCF of 38,32,51,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,23,10,75

LCM of Fractions 30/38,23/32,10/51,75/745 is 3450

2 30, 23, 10, 75
3 15, 23, 5, 75
5 5, 23, 5, 25
1, 23, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 23 x 1 x 5 = 3450

Least Common Multiple of 30,23,10,75 with GCF Formula

Least Common Multiple of 30,23,10,75 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 30,23,10,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,23,10,75) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(30,23,10,75) x common factors =1 x 150 = 150

LCM(30,23,10,75) = ( 30 × 23 × 10 × 75 ) / 150

LCM(30,23,10,75) = 517500 / 150

LCM(30,23,10,75) = 3450


Lets's calculate GCF of 38,32,51,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3450/1

Therefore the LCM of Fractions 30/38,23/32,10/51,75/745 is 3450

Greatest Common Factor of 38,32,51,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,32,51,745 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 38,32,51,745 . The biggest common factor number is the GCF number.
So the greatest common factor 38,32,51,745 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 30/38, 23/32, 10/51, 75/745

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 30/38, 23/32, 10/51, 75/745?

Answer: LCM of Numerators as per given numbers 30/38, 23/32, 10/51, 75/745 is

LCM of Numerators i.e. for 30,23,10,75 is 3450

GCF of denominators i.e. for 38,32,51,745 is 1.

Thus, LCM of Fractions is 3450.Finally, LCM of Fractions for 30/38, 23/32, 10/51, 75/745 is 3450.