Least Common Multiple of 10/475, 3847/5961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/475, 3847/5961 quickly i.e. 38470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/475, 3847/5961 is 38470.

LCM(10/475, 3847/5961) = 38470

LCM of 10/475, 3847/5961

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 10/475,3847/5961

Given numbers are 10/475,3847/5961

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 10,3847

Least Common Multiple of Numerators i.e. LCM of 10,3847 is 38470.

GCF of Denominators means GCF of 475,5961 as per the given fractions.

GCF of 475,5961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,3847

LCM of Fractions 10/475,3847/5961 is 38470

Given numbers has no common factors except 1. So, there LCM is their product i.e 38470

Least Common Multiple of 10,3847 with GCF Formula

Least Common Multiple of 10,3847 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 10,3847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,3847) = 1

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

GCF(10,3847) x common factors =1 x 1 = 1

LCM(10,3847) = ( 10 × 3847 ) / 1

LCM(10,3847) = 38470 / 1

LCM(10,3847) = 38470


Lets's calculate GCF of 475,5961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38470/1

Therefore the LCM of Fractions 10/475,3847/5961 is 38470

Greatest Common Factor of 475,5961 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,5961 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 5961

List of positive integer factors of 5961 that divides 5961 without a remainder.

1,3,1987,5961

Greatest Common Factor

We found the factors 475,5961 . The biggest common factor number is the GCF number.
So the greatest common factor 475,5961 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 10/475, 3847/5961

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 10/475, 3847/5961?

Answer: LCM of Numerators as per given numbers 10/475, 3847/5961 is

LCM of Numerators i.e. for 10,3847 is 38470

GCF of denominators i.e. for 475,5961 is 1.

Thus, LCM of Fractions is 38470.Finally, LCM of Fractions for 10/475, 3847/5961 is 38470.