Least Common Multiple of 224/63, 393/47, 786/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/63, 393/47, 786/998 quickly i.e. 88032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/63, 393/47, 786/998 is 88032.

LCM(224/63, 393/47, 786/998) = 88032

LCM of 224/63, 393/47, 786/998

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 224/63,393/47,786/998

Given numbers are 224/63,393/47,786/998

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 224,393,786

Least Common Multiple of Numerators i.e. LCM of 224,393,786 is 88032.

GCF of Denominators means GCF of 63,47,998 as per the given fractions.

GCF of 63,47,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,393,786

LCM of Fractions 224/63,393/47,786/998 is 88032

2 224, 393, 786
3 112, 393, 393
131 112, 131, 131
112, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 131 x 112 x 1 x 1 = 88032

Least Common Multiple of 224,393,786 with GCF Formula

Least Common Multiple of 224,393,786 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 224,393,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,393,786) = 1

common factors(in case of two or more numbers have common factors) = 786

GCF(224,393,786) x common factors =1 x 786 = 786

LCM(224,393,786) = ( 224 × 393 × 786 ) / 786

LCM(224,393,786) = 69193152 / 786

LCM(224,393,786) = 88032


Lets's calculate GCF of 63,47,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88032/1

Therefore the LCM of Fractions 224/63,393/47,786/998 is 88032

Greatest Common Factor of 63,47,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,47,998 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 47

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

1,47

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 63,47,998 . The biggest common factor number is the GCF number.
So the greatest common factor 63,47,998 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 224/63, 393/47, 786/998

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 224/63, 393/47, 786/998?

Answer: LCM of Numerators as per given numbers 224/63, 393/47, 786/998 is

LCM of Numerators i.e. for 224,393,786 is 88032

GCF of denominators i.e. for 63,47,998 is 1.

Thus, LCM of Fractions is 88032.Finally, LCM of Fractions for 224/63, 393/47, 786/998 is 88032.