Least Common Multiple of 7/38, 9/40, 18/69, 21/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/38, 9/40, 18/69, 21/523 quickly i.e. 126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/38, 9/40, 18/69, 21/523 is 126.

LCM(7/38, 9/40, 18/69, 21/523) = 126

LCM of 7/38, 9/40, 18/69, 21/523

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 7/38,9/40,18/69,21/523

Given numbers are 7/38,9/40,18/69,21/523

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 7,9,18,21

Least Common Multiple of Numerators i.e. LCM of 7,9,18,21 is 126.

GCF of Denominators means GCF of 38,40,69,523 as per the given fractions.

GCF of 38,40,69,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,9,18,21

LCM of Fractions 7/38,9/40,18/69,21/523 is 126

3 7, 9, 18, 21
3 7, 3, 6, 7
7 7, 1, 2, 7
1, 1, 2, 1

∴ So the LCM of the given numbers is 3 x 3 x 7 x 1 x 1 x 2 x 1 = 126

Least Common Multiple of 7,9,18,21 with GCF Formula

Least Common Multiple of 7,9,18,21 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 7,9,18,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,9,18,21) = 1

common factors(in case of two or more numbers have common factors) = 189

GCF(7,9,18,21) x common factors =1 x 189 = 189

LCM(7,9,18,21) = ( 7 × 9 × 18 × 21 ) / 189

LCM(7,9,18,21) = 23814 / 189

LCM(7,9,18,21) = 126


Lets's calculate GCF of 38,40,69,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126/1

Therefore the LCM of Fractions 7/38,9/40,18/69,21/523 is 126

Greatest Common Factor of 38,40,69,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,40,69,523 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 69

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

1,3,23,69

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 38,40,69,523 . The biggest common factor number is the GCF number.
So the greatest common factor 38,40,69,523 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 7/38, 9/40, 18/69, 21/523

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 7/38, 9/40, 18/69, 21/523?

Answer: LCM of Numerators as per given numbers 7/38, 9/40, 18/69, 21/523 is

LCM of Numerators i.e. for 7,9,18,21 is 126

GCF of denominators i.e. for 38,40,69,523 is 1.

Thus, LCM of Fractions is 126.Finally, LCM of Fractions for 7/38, 9/40, 18/69, 21/523 is 126.