Least Common Multiple of 817/74, 674/6926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/74, 674/6926 quickly i.e. 275329 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/74, 674/6926 is 275329.

LCM(817/74, 674/6926) = 275329

LCM of 817/74, 674/6926

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 817/74,674/6926

Given numbers are 817/74,674/6926

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 817,674

Least Common Multiple of Numerators i.e. LCM of 817,674 is 550658.

GCF of Denominators means GCF of 74,6926 as per the given fractions.

GCF of 74,6926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,674

LCM of Fractions 817/74,674/6926 is 275329

Given numbers has no common factors except 1. So, there LCM is their product i.e 550658

Least Common Multiple of 817,674 with GCF Formula

Least Common Multiple of 817,674 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 817,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,674) = 1

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

GCF(817,674) x common factors =1 x 1 = 1

LCM(817,674) = ( 817 × 674 ) / 1

LCM(817,674) = 550658 / 1

LCM(817,674) = 550658


Lets's calculate GCF of 74,6926

2 74, 6926
37, 3463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550658/2

Therefore the LCM of Fractions 817/74,674/6926 is 275329

Greatest Common Factor of 74,6926 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,6926 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 6926

List of positive integer factors of 6926 that divides 6926 without a remainder.

1,2,3463,6926

Greatest Common Factor

We found the factors 74,6926 . The biggest common factor number is the GCF number.
So the greatest common factor 74,6926 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 817/74, 674/6926

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 817/74, 674/6926?

Answer: LCM of Numerators as per given numbers 817/74, 674/6926 is

LCM of Numerators i.e. for 817,674 is 550658

GCF of denominators i.e. for 74,6926 is 2.

Thus, LCM of Fractions is 275329.Finally, LCM of Fractions for 817/74, 674/6926 is 275329.