Least Common Multiple of 47/10, 875/18, 971/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/10, 875/18, 971/802 quickly i.e. 39932375/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/10, 875/18, 971/802 is 39932375/2.

LCM(47/10, 875/18, 971/802) = 39932375/2

LCM of 47/10, 875/18, 971/802

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 47/10,875/18,971/802

Given numbers are 47/10,875/18,971/802

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 47,875,971

Least Common Multiple of Numerators i.e. LCM of 47,875,971 is 39932375.

GCF of Denominators means GCF of 10,18,802 as per the given fractions.

GCF of 10,18,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,875,971

LCM of Fractions 47/10,875/18,971/802 is 39932375/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 39932375

Least Common Multiple of 47,875,971 with GCF Formula

Least Common Multiple of 47,875,971 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 47,875,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,875,971) = 1

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

GCF(47,875,971) x common factors =1 x 1 = 1

LCM(47,875,971) = ( 47 × 875 × 971 ) / 1

LCM(47,875,971) = 39932375 / 1

LCM(47,875,971) = 39932375


Lets's calculate GCF of 10,18,802

2 10, 18, 802
5, 9, 401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39932375/2

Therefore the LCM of Fractions 47/10,875/18,971/802 is 39932375/2

Greatest Common Factor of 10,18,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,18,802 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 10,18,802 . The biggest common factor number is the GCF number.
So the greatest common factor 10,18,802 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 47/10, 875/18, 971/802

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 47/10, 875/18, 971/802?

Answer: LCM of Numerators as per given numbers 47/10, 875/18, 971/802 is

LCM of Numerators i.e. for 47,875,971 is 39932375

GCF of denominators i.e. for 10,18,802 is 2.

Thus, LCM of Fractions is 39932375/2.Finally, LCM of Fractions for 47/10, 875/18, 971/802 is 39932375/2.