Least Common Multiple of 224/89, 147/64, 888/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/89, 147/64, 888/763 quickly i.e. 174048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/89, 147/64, 888/763 is 174048.

LCM(224/89, 147/64, 888/763) = 174048

LCM of 224/89, 147/64, 888/763

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 224/89,147/64,888/763

Given numbers are 224/89,147/64,888/763

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 224,147,888

Least Common Multiple of Numerators i.e. LCM of 224,147,888 is 174048.

GCF of Denominators means GCF of 89,64,763 as per the given fractions.

GCF of 89,64,763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,147,888

LCM of Fractions 224/89,147/64,888/763 is 174048

2 224, 147, 888
2 112, 147, 444
2 56, 147, 222
3 28, 147, 111
7 28, 49, 37
4, 7, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 4 x 7 x 37 = 174048

Least Common Multiple of 224,147,888 with GCF Formula

Least Common Multiple of 224,147,888 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 224,147,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,147,888) = 1

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

GCF(224,147,888) x common factors =1 x 168 = 168

LCM(224,147,888) = ( 224 × 147 × 888 ) / 168

LCM(224,147,888) = 29240064 / 168

LCM(224,147,888) = 174048


Lets's calculate GCF of 89,64,763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174048/1

Therefore the LCM of Fractions 224/89,147/64,888/763 is 174048

Greatest Common Factor of 89,64,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,64,763 By Matching Biggest Common Factor Method

Factors of 89

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

1,89

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 89,64,763 . The biggest common factor number is the GCF number.
So the greatest common factor 89,64,763 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 224/89, 147/64, 888/763

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 224/89, 147/64, 888/763?

Answer: LCM of Numerators as per given numbers 224/89, 147/64, 888/763 is

LCM of Numerators i.e. for 224,147,888 is 174048

GCF of denominators i.e. for 89,64,763 is 1.

Thus, LCM of Fractions is 174048.Finally, LCM of Fractions for 224/89, 147/64, 888/763 is 174048.