Least Common Multiple of 69/75, 24/18, 32/58, 42/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/75, 24/18, 32/58, 42/700 quickly i.e. 15456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/75, 24/18, 32/58, 42/700 is 15456.

LCM(69/75, 24/18, 32/58, 42/700) = 15456

LCM of 69/75, 24/18, 32/58, 42/700

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 69/75,24/18,32/58,42/700

Given numbers are 69/75,24/18,32/58,42/700

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 69,24,32,42

Least Common Multiple of Numerators i.e. LCM of 69,24,32,42 is 15456.

GCF of Denominators means GCF of 75,18,58,700 as per the given fractions.

GCF of 75,18,58,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,24,32,42

LCM of Fractions 69/75,24/18,32/58,42/700 is 15456

2 69, 24, 32, 42
2 69, 12, 16, 21
2 69, 6, 8, 21
3 69, 3, 4, 21
23, 1, 4, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 1 x 4 x 7 = 15456

Least Common Multiple of 69,24,32,42 with GCF Formula

Least Common Multiple of 69,24,32,42 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 69,24,32,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,24,32,42) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(69,24,32,42) x common factors =1 x 144 = 144

LCM(69,24,32,42) = ( 69 × 24 × 32 × 42 ) / 144

LCM(69,24,32,42) = 2225664 / 144

LCM(69,24,32,42) = 15456


Lets's calculate GCF of 75,18,58,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15456/1

Therefore the LCM of Fractions 69/75,24/18,32/58,42/700 is 15456

Greatest Common Factor of 75,18,58,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,18,58,700 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 75,18,58,700 . The biggest common factor number is the GCF number.
So the greatest common factor 75,18,58,700 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 69/75, 24/18, 32/58, 42/700

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 69/75, 24/18, 32/58, 42/700?

Answer: LCM of Numerators as per given numbers 69/75, 24/18, 32/58, 42/700 is

LCM of Numerators i.e. for 69,24,32,42 is 15456

GCF of denominators i.e. for 75,18,58,700 is 1.

Thus, LCM of Fractions is 15456.Finally, LCM of Fractions for 69/75, 24/18, 32/58, 42/700 is 15456.