Least Common Multiple of 8174/214, 6718/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8174/214, 6718/746 quickly i.e. 13728233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8174/214, 6718/746 is 13728233.

LCM(8174/214, 6718/746) = 13728233

LCM of 8174/214, 6718/746

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 8174/214,6718/746

Given numbers are 8174/214,6718/746

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 8174,6718

Least Common Multiple of Numerators i.e. LCM of 8174,6718 is 27456466.

GCF of Denominators means GCF of 214,746 as per the given fractions.

GCF of 214,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8174,6718

LCM of Fractions 8174/214,6718/746 is 13728233

2 8174, 6718
4087, 3359

∴ So the LCM of the given numbers is 2 x 4087 x 3359 = 27456466

Least Common Multiple of 8174,6718 with GCF Formula

Least Common Multiple of 8174,6718 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 8174,6718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8174,6718) = 2

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

GCF(8174,6718) x common factors =2 x 1 = 2

LCM(8174,6718) = ( 8174 × 6718 ) / 2

LCM(8174,6718) = 54912932 / 2

LCM(8174,6718) = 27456466


Lets's calculate GCF of 214,746

2 214, 746
107, 373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27456466/2

Therefore the LCM of Fractions 8174/214,6718/746 is 13728233

Greatest Common Factor of 214,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,746 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 214,746 . The biggest common factor number is the GCF number.
So the greatest common factor 214,746 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 8174/214, 6718/746

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 8174/214, 6718/746?

Answer: LCM of Numerators as per given numbers 8174/214, 6718/746 is

LCM of Numerators i.e. for 8174,6718 is 27456466

GCF of denominators i.e. for 214,746 is 2.

Thus, LCM of Fractions is 13728233.Finally, LCM of Fractions for 8174/214, 6718/746 is 13728233.