Least Common Multiple of 12/284, 458/128, 674/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/284, 458/128, 674/924 quickly i.e. 231519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/284, 458/128, 674/924 is 231519.

LCM(12/284, 458/128, 674/924) = 231519

LCM of 12/284, 458/128, 674/924

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 12/284,458/128,674/924

Given numbers are 12/284,458/128,674/924

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 12,458,674

Least Common Multiple of Numerators i.e. LCM of 12,458,674 is 926076.

GCF of Denominators means GCF of 284,128,924 as per the given fractions.

GCF of 284,128,924 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,458,674

LCM of Fractions 12/284,458/128,674/924 is 231519

2 12, 458, 674
6, 229, 337

∴ So the LCM of the given numbers is 2 x 6 x 229 x 337 = 926076

Least Common Multiple of 12,458,674 with GCF Formula

Least Common Multiple of 12,458,674 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 12,458,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,458,674) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(12,458,674) x common factors =2 x 2 = 4

LCM(12,458,674) = ( 12 × 458 × 674 ) / 4

LCM(12,458,674) = 3704304 / 4

LCM(12,458,674) = 926076


Lets's calculate GCF of 284,128,924

2 284, 128, 924
2 142, 64, 462
71, 32, 231

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 926076/4

Therefore the LCM of Fractions 12/284,458/128,674/924 is 231519

Greatest Common Factor of 284,128,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,128,924 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 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 284,128,924 . The biggest common factor number is the GCF number.
So the greatest common factor 284,128,924 is 4.


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 12/284, 458/128, 674/924

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 12/284, 458/128, 674/924?

Answer: LCM of Numerators as per given numbers 12/284, 458/128, 674/924 is

LCM of Numerators i.e. for 12,458,674 is 926076

GCF of denominators i.e. for 284,128,924 is 4.

Thus, LCM of Fractions is 231519.Finally, LCM of Fractions for 12/284, 458/128, 674/924 is 231519.