Least Common Multiple of 448/18, 147/89, 840/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/18, 147/89, 840/56 quickly i.e. 47040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/18, 147/89, 840/56 is 47040.

LCM(448/18, 147/89, 840/56) = 47040

LCM of 448/18, 147/89, 840/56

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 448/18,147/89,840/56

Given numbers are 448/18,147/89,840/56

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 448,147,840

Least Common Multiple of Numerators i.e. LCM of 448,147,840 is 47040.

GCF of Denominators means GCF of 18,89,56 as per the given fractions.

GCF of 18,89,56 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,147,840

LCM of Fractions 448/18,147/89,840/56 is 47040

2 448, 147, 840
2 224, 147, 420
2 112, 147, 210
3 56, 147, 105
7 56, 49, 35
8, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 8 x 7 x 5 = 47040

Least Common Multiple of 448,147,840 with GCF Formula

Least Common Multiple of 448,147,840 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 448,147,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,147,840) = 7

common factors(in case of two or more numbers have common factors) = 168

GCF(448,147,840) x common factors =7 x 168 = 1176

LCM(448,147,840) = ( 448 × 147 × 840 ) / 1176

LCM(448,147,840) = 55319040 / 1176

LCM(448,147,840) = 47040


Lets's calculate GCF of 18,89,56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47040/1

Therefore the LCM of Fractions 448/18,147/89,840/56 is 47040

Greatest Common Factor of 18,89,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,89,56 By Matching Biggest Common Factor Method

Factors of 18

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

1,2,3,6,9,18

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors 18,89,56 . The biggest common factor number is the GCF number.
So the greatest common factor 18,89,56 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 448/18, 147/89, 840/56

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 448/18, 147/89, 840/56?

Answer: LCM of Numerators as per given numbers 448/18, 147/89, 840/56 is

LCM of Numerators i.e. for 448,147,840 is 47040

GCF of denominators i.e. for 18,89,56 is 1.

Thus, LCM of Fractions is 47040.Finally, LCM of Fractions for 448/18, 147/89, 840/56 is 47040.