Least Common Multiple of 8896/47, 1584/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8896/47, 1584/947 quickly i.e. 880704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8896/47, 1584/947 is 880704.

LCM(8896/47, 1584/947) = 880704

LCM of 8896/47, 1584/947

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 8896/47,1584/947

Given numbers are 8896/47,1584/947

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 8896,1584

Least Common Multiple of Numerators i.e. LCM of 8896,1584 is 880704.

GCF of Denominators means GCF of 47,947 as per the given fractions.

GCF of 47,947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8896,1584

LCM of Fractions 8896/47,1584/947 is 880704

2 8896, 1584
2 4448, 792
2 2224, 396
2 1112, 198
556, 99

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 556 x 99 = 880704

Least Common Multiple of 8896,1584 with GCF Formula

Least Common Multiple of 8896,1584 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 8896,1584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8896,1584) = 16

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

GCF(8896,1584) x common factors =16 x 1 = 16

LCM(8896,1584) = ( 8896 × 1584 ) / 16

LCM(8896,1584) = 14091264 / 16

LCM(8896,1584) = 880704


Lets's calculate GCF of 47,947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 880704/1

Therefore the LCM of Fractions 8896/47,1584/947 is 880704

Greatest Common Factor of 47,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,947 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 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 47,947 . The biggest common factor number is the GCF number.
So the greatest common factor 47,947 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8896/47, 1584/947

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 8896/47, 1584/947?

Answer: LCM of Numerators as per given numbers 8896/47, 1584/947 is

LCM of Numerators i.e. for 8896,1584 is 880704

GCF of denominators i.e. for 47,947 is 1.

Thus, LCM of Fractions is 880704.Finally, LCM of Fractions for 8896/47, 1584/947 is 880704.