Least Common Multiple of 47/861, 75/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/861, 75/714 quickly i.e. 3525/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/861, 75/714 is 3525/21.

LCM(47/861, 75/714) = 3525/21

LCM of 47/861, 75/714

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 47/861,75/714

Given numbers are 47/861,75/714

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 47,75

Least Common Multiple of Numerators i.e. LCM of 47,75 is 3525.

GCF of Denominators means GCF of 861,714 as per the given fractions.

GCF of 861,714 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,75

LCM of Fractions 47/861,75/714 is 3525/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 3525

Least Common Multiple of 47,75 with GCF Formula

Least Common Multiple of 47,75 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 47,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,75) = 1

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

GCF(47,75) x common factors =1 x 1 = 1

LCM(47,75) = ( 47 × 75 ) / 1

LCM(47,75) = 3525 / 1

LCM(47,75) = 3525


Lets's calculate GCF of 861,714

3 861, 714
7 287, 238
41, 34

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3525/21

Therefore the LCM of Fractions 47/861,75/714 is 3525/21

Greatest Common Factor of 861,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,714 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 861,714 . The biggest common factor number is the GCF number.
So the greatest common factor 861,714 is 21.


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 47/861, 75/714

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 47/861, 75/714?

Answer: LCM of Numerators as per given numbers 47/861, 75/714 is

LCM of Numerators i.e. for 47,75 is 3525

GCF of denominators i.e. for 861,714 is 21.

Thus, LCM of Fractions is 3525/21.Finally, LCM of Fractions for 47/861, 75/714 is 3525/21.