Least Common Multiple of 25/78, 64/82, 801/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/78, 64/82, 801/754 quickly i.e. 640800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/78, 64/82, 801/754 is 640800.

LCM(25/78, 64/82, 801/754) = 640800

LCM of 25/78, 64/82, 801/754

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 25/78,64/82,801/754

Given numbers are 25/78,64/82,801/754

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 25,64,801

Least Common Multiple of Numerators i.e. LCM of 25,64,801 is 1281600.

GCF of Denominators means GCF of 78,82,754 as per the given fractions.

GCF of 78,82,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,64,801

LCM of Fractions 25/78,64/82,801/754 is 640800

Given numbers has no common factors except 1. So, there LCM is their product i.e 1281600

Least Common Multiple of 25,64,801 with GCF Formula

Least Common Multiple of 25,64,801 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 25,64,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,64,801) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(25,64,801) x common factors =1 x 1 = 1

LCM(25,64,801) = ( 25 × 64 × 801 ) / 1

LCM(25,64,801) = 1281600 / 1

LCM(25,64,801) = 1281600


Lets's calculate GCF of 78,82,754

2 78, 82, 754
39, 41, 377

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1281600/2

Therefore the LCM of Fractions 25/78,64/82,801/754 is 640800

Greatest Common Factor of 78,82,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,82,754 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 78,82,754 . The biggest common factor number is the GCF number.
So the greatest common factor 78,82,754 is 2.


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 25/78, 64/82, 801/754

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 25/78, 64/82, 801/754?

Answer: LCM of Numerators as per given numbers 25/78, 64/82, 801/754 is

LCM of Numerators i.e. for 25,64,801 is 1281600

GCF of denominators i.e. for 78,82,754 is 2.

Thus, LCM of Fractions is 640800.Finally, LCM of Fractions for 25/78, 64/82, 801/754 is 640800.