Least Common Multiple of 451/14, 804/2742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 451/14, 804/2742 quickly i.e. 181302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/14, 804/2742 is 181302.

LCM(451/14, 804/2742) = 181302

LCM of 451/14, 804/2742

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 451/14,804/2742

Given numbers are 451/14,804/2742

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 451,804

Least Common Multiple of Numerators i.e. LCM of 451,804 is 362604.

GCF of Denominators means GCF of 14,2742 as per the given fractions.

GCF of 14,2742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,804

LCM of Fractions 451/14,804/2742 is 181302

Given numbers has no common factors except 1. So, there LCM is their product i.e 362604

Least Common Multiple of 451,804 with GCF Formula

Least Common Multiple of 451,804 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 451,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,804) = 1

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

GCF(451,804) x common factors =1 x 1 = 1

LCM(451,804) = ( 451 × 804 ) / 1

LCM(451,804) = 362604 / 1

LCM(451,804) = 362604


Lets's calculate GCF of 14,2742

2 14, 2742
7, 1371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362604/2

Therefore the LCM of Fractions 451/14,804/2742 is 181302

Greatest Common Factor of 14,2742 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,2742 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 2742

List of positive integer factors of 2742 that divides 2742 without a remainder.

1,2,3,6,457,914,1371,2742

Greatest Common Factor

We found the factors 14,2742 . The biggest common factor number is the GCF number.
So the greatest common factor 14,2742 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 451/14, 804/2742

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 451/14, 804/2742?

Answer: LCM of Numerators as per given numbers 451/14, 804/2742 is

LCM of Numerators i.e. for 451,804 is 362604

GCF of denominators i.e. for 14,2742 is 2.

Thus, LCM of Fractions is 181302.Finally, LCM of Fractions for 451/14, 804/2742 is 181302.