Least Common Multiple of 42/284, 463/266, 990/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/284, 463/266, 990/640 quickly i.e. 1604295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/284, 463/266, 990/640 is 1604295.

LCM(42/284, 463/266, 990/640) = 1604295

LCM of 42/284, 463/266, 990/640

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 42/284,463/266,990/640

Given numbers are 42/284,463/266,990/640

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 42,463,990

Least Common Multiple of Numerators i.e. LCM of 42,463,990 is 3208590.

GCF of Denominators means GCF of 284,266,640 as per the given fractions.

GCF of 284,266,640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,463,990

LCM of Fractions 42/284,463/266,990/640 is 1604295

2 42, 463, 990
3 21, 463, 495
7, 463, 165

∴ So the LCM of the given numbers is 2 x 3 x 7 x 463 x 165 = 3208590

Least Common Multiple of 42,463,990 with GCF Formula

Least Common Multiple of 42,463,990 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 42,463,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,463,990) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,463,990) x common factors =1 x 6 = 6

LCM(42,463,990) = ( 42 × 463 × 990 ) / 6

LCM(42,463,990) = 19251540 / 6

LCM(42,463,990) = 3208590


Lets's calculate GCF of 284,266,640

2 284, 266, 640
142, 133, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3208590/2

Therefore the LCM of Fractions 42/284,463/266,990/640 is 1604295

Greatest Common Factor of 284,266,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,266,640 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 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 284,266,640 . The biggest common factor number is the GCF number.
So the greatest common factor 284,266,640 is 2.


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 42/284, 463/266, 990/640

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 42/284, 463/266, 990/640?

Answer: LCM of Numerators as per given numbers 42/284, 463/266, 990/640 is

LCM of Numerators i.e. for 42,463,990 is 3208590

GCF of denominators i.e. for 284,266,640 is 2.

Thus, LCM of Fractions is 1604295.Finally, LCM of Fractions for 42/284, 463/266, 990/640 is 1604295.