Least Common Multiple of 375/51, 804/1442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 375/51, 804/1442 quickly i.e. 100500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/51, 804/1442 is 100500.

LCM(375/51, 804/1442) = 100500

LCM of 375/51, 804/1442

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 375/51,804/1442

Given numbers are 375/51,804/1442

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 375,804

Least Common Multiple of Numerators i.e. LCM of 375,804 is 100500.

GCF of Denominators means GCF of 51,1442 as per the given fractions.

GCF of 51,1442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,804

LCM of Fractions 375/51,804/1442 is 100500

3 375, 804
125, 268

∴ So the LCM of the given numbers is 3 x 125 x 268 = 100500

Least Common Multiple of 375,804 with GCF Formula

Least Common Multiple of 375,804 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 375,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,804) = 3

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

GCF(375,804) x common factors =3 x 1 = 3

LCM(375,804) = ( 375 × 804 ) / 3

LCM(375,804) = 301500 / 3

LCM(375,804) = 100500


Lets's calculate GCF of 51,1442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100500/1

Therefore the LCM of Fractions 375/51,804/1442 is 100500

Greatest Common Factor of 51,1442 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,1442 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 1442

List of positive integer factors of 1442 that divides 1442 without a remainder.

1,2,7,14,103,206,721,1442

Greatest Common Factor

We found the factors 51,1442 . The biggest common factor number is the GCF number.
So the greatest common factor 51,1442 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 375/51, 804/1442

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 375/51, 804/1442?

Answer: LCM of Numerators as per given numbers 375/51, 804/1442 is

LCM of Numerators i.e. for 375,804 is 100500

GCF of denominators i.e. for 51,1442 is 1.

Thus, LCM of Fractions is 100500.Finally, LCM of Fractions for 375/51, 804/1442 is 100500.