Least Common Multiple of 64/68, 76/10, 27/75, 25/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/68, 76/10, 27/75, 25/183 quickly i.e. 820800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/68, 76/10, 27/75, 25/183 is 820800.

LCM(64/68, 76/10, 27/75, 25/183) = 820800

LCM of 64/68, 76/10, 27/75, 25/183

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 64/68,76/10,27/75,25/183

Given numbers are 64/68,76/10,27/75,25/183

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 64,76,27,25

Least Common Multiple of Numerators i.e. LCM of 64,76,27,25 is 820800.

GCF of Denominators means GCF of 68,10,75,183 as per the given fractions.

GCF of 68,10,75,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,76,27,25

LCM of Fractions 64/68,76/10,27/75,25/183 is 820800

2 64, 76, 27, 25
2 32, 38, 27, 25
16, 19, 27, 25

∴ So the LCM of the given numbers is 2 x 2 x 16 x 19 x 27 x 25 = 820800

Least Common Multiple of 64,76,27,25 with GCF Formula

Least Common Multiple of 64,76,27,25 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 64,76,27,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,76,27,25) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,76,27,25) x common factors =1 x 4 = 4

LCM(64,76,27,25) = ( 64 × 76 × 27 × 25 ) / 4

LCM(64,76,27,25) = 3283200 / 4

LCM(64,76,27,25) = 820800


Lets's calculate GCF of 68,10,75,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 820800/1

Therefore the LCM of Fractions 64/68,76/10,27/75,25/183 is 820800

Greatest Common Factor of 68,10,75,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,10,75,183 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 75

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

1,3,5,15,25,75

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 68,10,75,183 . The biggest common factor number is the GCF number.
So the greatest common factor 68,10,75,183 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 64/68, 76/10, 27/75, 25/183

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 64/68, 76/10, 27/75, 25/183?

Answer: LCM of Numerators as per given numbers 64/68, 76/10, 27/75, 25/183 is

LCM of Numerators i.e. for 64,76,27,25 is 820800

GCF of denominators i.e. for 68,10,75,183 is 1.

Thus, LCM of Fractions is 820800.Finally, LCM of Fractions for 64/68, 76/10, 27/75, 25/183 is 820800.