Least Common Multiple of 47/823, 3797/7602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/823, 3797/7602 quickly i.e. 178459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/823, 3797/7602 is 178459.

LCM(47/823, 3797/7602) = 178459

LCM of 47/823, 3797/7602

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 47/823,3797/7602

Given numbers are 47/823,3797/7602

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 47,3797

Least Common Multiple of Numerators i.e. LCM of 47,3797 is 178459.

GCF of Denominators means GCF of 823,7602 as per the given fractions.

GCF of 823,7602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,3797

LCM of Fractions 47/823,3797/7602 is 178459

Given numbers has no common factors except 1. So, there LCM is their product i.e 178459

Least Common Multiple of 47,3797 with GCF Formula

Least Common Multiple of 47,3797 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 47,3797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,3797) = 1

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

GCF(47,3797) x common factors =1 x 1 = 1

LCM(47,3797) = ( 47 × 3797 ) / 1

LCM(47,3797) = 178459 / 1

LCM(47,3797) = 178459


Lets's calculate GCF of 823,7602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178459/1

Therefore the LCM of Fractions 47/823,3797/7602 is 178459

Greatest Common Factor of 823,7602 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,7602 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 7602

List of positive integer factors of 7602 that divides 7602 without a remainder.

1,2,3,6,7,14,21,42,181,362,543,1086,1267,2534,3801,7602

Greatest Common Factor

We found the factors 823,7602 . The biggest common factor number is the GCF number.
So the greatest common factor 823,7602 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 47/823, 3797/7602

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 47/823, 3797/7602?

Answer: LCM of Numerators as per given numbers 47/823, 3797/7602 is

LCM of Numerators i.e. for 47,3797 is 178459

GCF of denominators i.e. for 823,7602 is 1.

Thus, LCM of Fractions is 178459.Finally, LCM of Fractions for 47/823, 3797/7602 is 178459.