Least Common Multiple of 824/47, 358/3966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/47, 358/3966 quickly i.e. 147496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/47, 358/3966 is 147496.

LCM(824/47, 358/3966) = 147496

LCM of 824/47, 358/3966

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 824/47,358/3966

Given numbers are 824/47,358/3966

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 824,358

Least Common Multiple of Numerators i.e. LCM of 824,358 is 147496.

GCF of Denominators means GCF of 47,3966 as per the given fractions.

GCF of 47,3966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,358

LCM of Fractions 824/47,358/3966 is 147496

2 824, 358
412, 179

∴ So the LCM of the given numbers is 2 x 412 x 179 = 147496

Least Common Multiple of 824,358 with GCF Formula

Least Common Multiple of 824,358 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 824,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,358) = 2

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

GCF(824,358) x common factors =2 x 1 = 2

LCM(824,358) = ( 824 × 358 ) / 2

LCM(824,358) = 294992 / 2

LCM(824,358) = 147496


Lets's calculate GCF of 47,3966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147496/1

Therefore the LCM of Fractions 824/47,358/3966 is 147496

Greatest Common Factor of 47,3966 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,3966 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 3966

List of positive integer factors of 3966 that divides 3966 without a remainder.

1,2,3,6,661,1322,1983,3966

Greatest Common Factor

We found the factors 47,3966 . The biggest common factor number is the GCF number.
So the greatest common factor 47,3966 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 824/47, 358/3966

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 824/47, 358/3966?

Answer: LCM of Numerators as per given numbers 824/47, 358/3966 is

LCM of Numerators i.e. for 824,358 is 147496

GCF of denominators i.e. for 47,3966 is 1.

Thus, LCM of Fractions is 147496.Finally, LCM of Fractions for 824/47, 358/3966 is 147496.