Least Common Multiple of 323/284, 784/646, 152/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/284, 784/646, 152/847 quickly i.e. 253232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/284, 784/646, 152/847 is 253232.

LCM(323/284, 784/646, 152/847) = 253232

LCM of 323/284, 784/646, 152/847

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 323/284,784/646,152/847

Given numbers are 323/284,784/646,152/847

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 323,784,152

Least Common Multiple of Numerators i.e. LCM of 323,784,152 is 253232.

GCF of Denominators means GCF of 284,646,847 as per the given fractions.

GCF of 284,646,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,784,152

LCM of Fractions 323/284,784/646,152/847 is 253232

2 323, 784, 152
2 323, 392, 76
2 323, 196, 38
19 323, 98, 19
17, 98, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 17 x 98 x 1 = 253232

Least Common Multiple of 323,784,152 with GCF Formula

Least Common Multiple of 323,784,152 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 323,784,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,784,152) = 1

common factors(in case of two or more numbers have common factors) = 152

GCF(323,784,152) x common factors =1 x 152 = 152

LCM(323,784,152) = ( 323 × 784 × 152 ) / 152

LCM(323,784,152) = 38491264 / 152

LCM(323,784,152) = 253232


Lets's calculate GCF of 284,646,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253232/1

Therefore the LCM of Fractions 323/284,784/646,152/847 is 253232

Greatest Common Factor of 284,646,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,646,847 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 284,646,847 . The biggest common factor number is the GCF number.
So the greatest common factor 284,646,847 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 323/284, 784/646, 152/847

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 323/284, 784/646, 152/847?

Answer: LCM of Numerators as per given numbers 323/284, 784/646, 152/847 is

LCM of Numerators i.e. for 323,784,152 is 253232

GCF of denominators i.e. for 284,646,847 is 1.

Thus, LCM of Fractions is 253232.Finally, LCM of Fractions for 323/284, 784/646, 152/847 is 253232.