Least Common Multiple of 671/814, 7129/3385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 671/814, 7129/3385 quickly i.e. 4783559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 671/814, 7129/3385 is 4783559.

LCM(671/814, 7129/3385) = 4783559

LCM of 671/814, 7129/3385

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 671/814,7129/3385

Given numbers are 671/814,7129/3385

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 671,7129

Least Common Multiple of Numerators i.e. LCM of 671,7129 is 4783559.

GCF of Denominators means GCF of 814,3385 as per the given fractions.

GCF of 814,3385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 671,7129

LCM of Fractions 671/814,7129/3385 is 4783559

Given numbers has no common factors except 1. So, there LCM is their product i.e 4783559

Least Common Multiple of 671,7129 with GCF Formula

Least Common Multiple of 671,7129 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 671,7129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,7129) = 1

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

GCF(671,7129) x common factors =1 x 1 = 1

LCM(671,7129) = ( 671 × 7129 ) / 1

LCM(671,7129) = 4783559 / 1

LCM(671,7129) = 4783559


Lets's calculate GCF of 814,3385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4783559/1

Therefore the LCM of Fractions 671/814,7129/3385 is 4783559

Greatest Common Factor of 814,3385 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,3385 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 3385

List of positive integer factors of 3385 that divides 3385 without a remainder.

1,5,677,3385

Greatest Common Factor

We found the factors 814,3385 . The biggest common factor number is the GCF number.
So the greatest common factor 814,3385 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 671/814, 7129/3385

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 671/814, 7129/3385?

Answer: LCM of Numerators as per given numbers 671/814, 7129/3385 is

LCM of Numerators i.e. for 671,7129 is 4783559

GCF of denominators i.e. for 814,3385 is 1.

Thus, LCM of Fractions is 4783559.Finally, LCM of Fractions for 671/814, 7129/3385 is 4783559.