Least Common Multiple of 46/36, 452/44, 784/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/36, 452/44, 784/282 quickly i.e. 1018808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/36, 452/44, 784/282 is 1018808.

LCM(46/36, 452/44, 784/282) = 1018808

LCM of 46/36, 452/44, 784/282

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 46/36,452/44,784/282

Given numbers are 46/36,452/44,784/282

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 46,452,784

Least Common Multiple of Numerators i.e. LCM of 46,452,784 is 2037616.

GCF of Denominators means GCF of 36,44,282 as per the given fractions.

GCF of 36,44,282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,452,784

LCM of Fractions 46/36,452/44,784/282 is 1018808

2 46, 452, 784
2 23, 226, 392
23, 113, 196

∴ So the LCM of the given numbers is 2 x 2 x 23 x 113 x 196 = 2037616

Least Common Multiple of 46,452,784 with GCF Formula

Least Common Multiple of 46,452,784 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 46,452,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,452,784) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(46,452,784) x common factors =2 x 4 = 8

LCM(46,452,784) = ( 46 × 452 × 784 ) / 8

LCM(46,452,784) = 16300928 / 8

LCM(46,452,784) = 2037616


Lets's calculate GCF of 36,44,282

2 36, 44, 282
18, 22, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2037616/2

Therefore the LCM of Fractions 46/36,452/44,784/282 is 1018808

Greatest Common Factor of 36,44,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,44,282 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 36,44,282 . The biggest common factor number is the GCF number.
So the greatest common factor 36,44,282 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 46/36, 452/44, 784/282

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 46/36, 452/44, 784/282?

Answer: LCM of Numerators as per given numbers 46/36, 452/44, 784/282 is

LCM of Numerators i.e. for 46,452,784 is 2037616

GCF of denominators i.e. for 36,44,282 is 2.

Thus, LCM of Fractions is 1018808.Finally, LCM of Fractions for 46/36, 452/44, 784/282 is 1018808.