Least Common Multiple of 69/39, 26/12, 46/74, 75/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/39, 26/12, 46/74, 75/323 quickly i.e. 44850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/39, 26/12, 46/74, 75/323 is 44850.

LCM(69/39, 26/12, 46/74, 75/323) = 44850

LCM of 69/39, 26/12, 46/74, 75/323

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 69/39,26/12,46/74,75/323

Given numbers are 69/39,26/12,46/74,75/323

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 69,26,46,75

Least Common Multiple of Numerators i.e. LCM of 69,26,46,75 is 44850.

GCF of Denominators means GCF of 39,12,74,323 as per the given fractions.

GCF of 39,12,74,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,26,46,75

LCM of Fractions 69/39,26/12,46/74,75/323 is 44850

2 69, 26, 46, 75
3 69, 13, 23, 75
23 23, 13, 23, 25
1, 13, 1, 25

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 13 x 1 x 25 = 44850

Least Common Multiple of 69,26,46,75 with GCF Formula

Least Common Multiple of 69,26,46,75 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 69,26,46,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,26,46,75) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(69,26,46,75) x common factors =1 x 138 = 138

LCM(69,26,46,75) = ( 69 × 26 × 46 × 75 ) / 138

LCM(69,26,46,75) = 6189300 / 138

LCM(69,26,46,75) = 44850


Lets's calculate GCF of 39,12,74,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44850/1

Therefore the LCM of Fractions 69/39,26/12,46/74,75/323 is 44850

Greatest Common Factor of 39,12,74,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,12,74,323 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 12

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

1,2,3,4,6,12

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 39,12,74,323 . The biggest common factor number is the GCF number.
So the greatest common factor 39,12,74,323 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 69/39, 26/12, 46/74, 75/323

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 69/39, 26/12, 46/74, 75/323?

Answer: LCM of Numerators as per given numbers 69/39, 26/12, 46/74, 75/323 is

LCM of Numerators i.e. for 69,26,46,75 is 44850

GCF of denominators i.e. for 39,12,74,323 is 1.

Thus, LCM of Fractions is 44850.Finally, LCM of Fractions for 69/39, 26/12, 46/74, 75/323 is 44850.