Least Common Multiple of 417/36, 942/1697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/36, 942/1697 quickly i.e. 130938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/36, 942/1697 is 130938.

LCM(417/36, 942/1697) = 130938

LCM of 417/36, 942/1697

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 417/36,942/1697

Given numbers are 417/36,942/1697

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 417,942

Least Common Multiple of Numerators i.e. LCM of 417,942 is 130938.

GCF of Denominators means GCF of 36,1697 as per the given fractions.

GCF of 36,1697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,942

LCM of Fractions 417/36,942/1697 is 130938

3 417, 942
139, 314

∴ So the LCM of the given numbers is 3 x 139 x 314 = 130938

Least Common Multiple of 417,942 with GCF Formula

Least Common Multiple of 417,942 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 417,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,942) = 3

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

GCF(417,942) x common factors =3 x 1 = 3

LCM(417,942) = ( 417 × 942 ) / 3

LCM(417,942) = 392814 / 3

LCM(417,942) = 130938


Lets's calculate GCF of 36,1697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130938/1

Therefore the LCM of Fractions 417/36,942/1697 is 130938

Greatest Common Factor of 36,1697 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,1697 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 1697

List of positive integer factors of 1697 that divides 1697 without a remainder.

1,1697

Greatest Common Factor

We found the factors 36,1697 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1697 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 417/36, 942/1697

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 417/36, 942/1697?

Answer: LCM of Numerators as per given numbers 417/36, 942/1697 is

LCM of Numerators i.e. for 417,942 is 130938

GCF of denominators i.e. for 36,1697 is 1.

Thus, LCM of Fractions is 130938.Finally, LCM of Fractions for 417/36, 942/1697 is 130938.