Least Common Multiple of 34/774, 9418/7646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/774, 9418/7646 quickly i.e. 4709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/774, 9418/7646 is 4709.

LCM(34/774, 9418/7646) = 4709

LCM of 34/774, 9418/7646

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 34/774,9418/7646

Given numbers are 34/774,9418/7646

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 34,9418

Least Common Multiple of Numerators i.e. LCM of 34,9418 is 9418.

GCF of Denominators means GCF of 774,7646 as per the given fractions.

GCF of 774,7646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,9418

LCM of Fractions 34/774,9418/7646 is 4709

2 34, 9418
17 17, 4709
1, 277

∴ So the LCM of the given numbers is 2 x 17 x 1 x 277 = 9418

Least Common Multiple of 34,9418 with GCF Formula

Least Common Multiple of 34,9418 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 34,9418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,9418) = 34

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

GCF(34,9418) x common factors =34 x 1 = 34

LCM(34,9418) = ( 34 × 9418 ) / 34

LCM(34,9418) = 320212 / 34

LCM(34,9418) = 9418


Lets's calculate GCF of 774,7646

2 774, 7646
387, 3823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9418/2

Therefore the LCM of Fractions 34/774,9418/7646 is 4709

Greatest Common Factor of 774,7646 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,7646 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 7646

List of positive integer factors of 7646 that divides 7646 without a remainder.

1,2,3823,7646

Greatest Common Factor

We found the factors 774,7646 . The biggest common factor number is the GCF number.
So the greatest common factor 774,7646 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 34/774, 9418/7646

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 34/774, 9418/7646?

Answer: LCM of Numerators as per given numbers 34/774, 9418/7646 is

LCM of Numerators i.e. for 34,9418 is 9418

GCF of denominators i.e. for 774,7646 is 2.

Thus, LCM of Fractions is 4709.Finally, LCM of Fractions for 34/774, 9418/7646 is 4709.