Least Common Multiple of 3635/475, 9462/8134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3635/475, 9462/8134 quickly i.e. 34394370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3635/475, 9462/8134 is 34394370.

LCM(3635/475, 9462/8134) = 34394370

LCM of 3635/475, 9462/8134

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 3635/475,9462/8134

Given numbers are 3635/475,9462/8134

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 3635,9462

Least Common Multiple of Numerators i.e. LCM of 3635,9462 is 34394370.

GCF of Denominators means GCF of 475,8134 as per the given fractions.

GCF of 475,8134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3635,9462

LCM of Fractions 3635/475,9462/8134 is 34394370

Given numbers has no common factors except 1. So, there LCM is their product i.e 34394370

Least Common Multiple of 3635,9462 with GCF Formula

Least Common Multiple of 3635,9462 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 3635,9462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3635,9462) = 1

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

GCF(3635,9462) x common factors =1 x 1 = 1

LCM(3635,9462) = ( 3635 × 9462 ) / 1

LCM(3635,9462) = 34394370 / 1

LCM(3635,9462) = 34394370


Lets's calculate GCF of 475,8134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34394370/1

Therefore the LCM of Fractions 3635/475,9462/8134 is 34394370

Greatest Common Factor of 475,8134 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,8134 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Greatest Common Factor

We found the factors 475,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 475,8134 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3635/475, 9462/8134

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 3635/475, 9462/8134?

Answer: LCM of Numerators as per given numbers 3635/475, 9462/8134 is

LCM of Numerators i.e. for 3635,9462 is 34394370

GCF of denominators i.e. for 475,8134 is 1.

Thus, LCM of Fractions is 34394370.Finally, LCM of Fractions for 3635/475, 9462/8134 is 34394370.