Least Common Multiple of 25/210, 39/818, 192/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/210, 39/818, 192/754 quickly i.e. 31200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/210, 39/818, 192/754 is 31200.

LCM(25/210, 39/818, 192/754) = 31200

LCM of 25/210, 39/818, 192/754

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 25/210,39/818,192/754

Given numbers are 25/210,39/818,192/754

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 25,39,192

Least Common Multiple of Numerators i.e. LCM of 25,39,192 is 62400.

GCF of Denominators means GCF of 210,818,754 as per the given fractions.

GCF of 210,818,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,39,192

LCM of Fractions 25/210,39/818,192/754 is 31200

3 25, 39, 192
25, 13, 64

∴ So the LCM of the given numbers is 3 x 25 x 13 x 64 = 62400

Least Common Multiple of 25,39,192 with GCF Formula

Least Common Multiple of 25,39,192 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 25,39,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,39,192) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(25,39,192) x common factors =1 x 3 = 3

LCM(25,39,192) = ( 25 × 39 × 192 ) / 3

LCM(25,39,192) = 187200 / 3

LCM(25,39,192) = 62400


Lets's calculate GCF of 210,818,754

2 210, 818, 754
105, 409, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62400/2

Therefore the LCM of Fractions 25/210,39/818,192/754 is 31200

Greatest Common Factor of 210,818,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,818,754 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

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 210,818,754 . The biggest common factor number is the GCF number.
So the greatest common factor 210,818,754 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 25/210, 39/818, 192/754

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 25/210, 39/818, 192/754?

Answer: LCM of Numerators as per given numbers 25/210, 39/818, 192/754 is

LCM of Numerators i.e. for 25,39,192 is 62400

GCF of denominators i.e. for 210,818,754 is 2.

Thus, LCM of Fractions is 31200.Finally, LCM of Fractions for 25/210, 39/818, 192/754 is 31200.