Least Common Multiple of 4407/814, 6739/8132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4407/814, 6739/8132 quickly i.e. 29698773/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4407/814, 6739/8132 is 29698773/2.

LCM(4407/814, 6739/8132) = 29698773/2

LCM of 4407/814, 6739/8132

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 4407/814,6739/8132

Given numbers are 4407/814,6739/8132

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 4407,6739

Least Common Multiple of Numerators i.e. LCM of 4407,6739 is 29698773.

GCF of Denominators means GCF of 814,8132 as per the given fractions.

GCF of 814,8132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4407,6739

LCM of Fractions 4407/814,6739/8132 is 29698773/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 29698773

Least Common Multiple of 4407,6739 with GCF Formula

Least Common Multiple of 4407,6739 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 4407,6739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4407,6739) = 1

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

GCF(4407,6739) x common factors =1 x 1 = 1

LCM(4407,6739) = ( 4407 × 6739 ) / 1

LCM(4407,6739) = 29698773 / 1

LCM(4407,6739) = 29698773


Lets's calculate GCF of 814,8132

2 814, 8132
407, 4066

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29698773/2

Therefore the LCM of Fractions 4407/814,6739/8132 is 29698773/2

Greatest Common Factor of 814,8132 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,8132 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 8132

List of positive integer factors of 8132 that divides 8132 without a remainder.

1,2,4,19,38,76,107,214,428,2033,4066,8132

Greatest Common Factor

We found the factors 814,8132 . The biggest common factor number is the GCF number.
So the greatest common factor 814,8132 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 4407/814, 6739/8132

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 4407/814, 6739/8132?

Answer: LCM of Numerators as per given numbers 4407/814, 6739/8132 is

LCM of Numerators i.e. for 4407,6739 is 29698773

GCF of denominators i.e. for 814,8132 is 2.

Thus, LCM of Fractions is 29698773/2.Finally, LCM of Fractions for 4407/814, 6739/8132 is 29698773/2.