Least Common Multiple of 417/842, 9738/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/842, 9738/746 quickly i.e. 676791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/842, 9738/746 is 676791.

LCM(417/842, 9738/746) = 676791

LCM of 417/842, 9738/746

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 417/842,9738/746

Given numbers are 417/842,9738/746

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 417,9738

Least Common Multiple of Numerators i.e. LCM of 417,9738 is 1353582.

GCF of Denominators means GCF of 842,746 as per the given fractions.

GCF of 842,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,9738

LCM of Fractions 417/842,9738/746 is 676791

3 417, 9738
139, 3246

∴ So the LCM of the given numbers is 3 x 139 x 3246 = 1353582

Least Common Multiple of 417,9738 with GCF Formula

Least Common Multiple of 417,9738 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 417,9738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,9738) = 3

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

GCF(417,9738) x common factors =3 x 1 = 3

LCM(417,9738) = ( 417 × 9738 ) / 3

LCM(417,9738) = 4060746 / 3

LCM(417,9738) = 1353582


Lets's calculate GCF of 842,746

2 842, 746
421, 373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1353582/2

Therefore the LCM of Fractions 417/842,9738/746 is 676791

Greatest Common Factor of 842,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,746 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

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 842,746 . The biggest common factor number is the GCF number.
So the greatest common factor 842,746 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 417/842, 9738/746

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 417/842, 9738/746?

Answer: LCM of Numerators as per given numbers 417/842, 9738/746 is

LCM of Numerators i.e. for 417,9738 is 1353582

GCF of denominators i.e. for 842,746 is 2.

Thus, LCM of Fractions is 676791.Finally, LCM of Fractions for 417/842, 9738/746 is 676791.