Least Common Multiple of 467/282, 761/738, 106/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 467/282, 761/738, 106/590 quickly i.e. 18835511 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/282, 761/738, 106/590 is 18835511.

LCM(467/282, 761/738, 106/590) = 18835511

LCM of 467/282, 761/738, 106/590

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 467/282,761/738,106/590

Given numbers are 467/282,761/738,106/590

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 467,761,106

Least Common Multiple of Numerators i.e. LCM of 467,761,106 is 37671022.

GCF of Denominators means GCF of 282,738,590 as per the given fractions.

GCF of 282,738,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,761,106

LCM of Fractions 467/282,761/738,106/590 is 18835511

Given numbers has no common factors except 1. So, there LCM is their product i.e 37671022

Least Common Multiple of 467,761,106 with GCF Formula

Least Common Multiple of 467,761,106 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 467,761,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,761,106) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(467,761,106) x common factors =1 x 1 = 1

LCM(467,761,106) = ( 467 × 761 × 106 ) / 1

LCM(467,761,106) = 37671022 / 1

LCM(467,761,106) = 37671022


Lets's calculate GCF of 282,738,590

2 282, 738, 590
141, 369, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37671022/2

Therefore the LCM of Fractions 467/282,761/738,106/590 is 18835511

Greatest Common Factor of 282,738,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,738,590 By Matching Biggest Common Factor Method

Factors of 282

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

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

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 282,738,590 . The biggest common factor number is the GCF number.
So the greatest common factor 282,738,590 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 467/282, 761/738, 106/590

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 467/282, 761/738, 106/590?

Answer: LCM of Numerators as per given numbers 467/282, 761/738, 106/590 is

LCM of Numerators i.e. for 467,761,106 is 37671022

GCF of denominators i.e. for 282,738,590 is 2.

Thus, LCM of Fractions is 18835511.Finally, LCM of Fractions for 467/282, 761/738, 106/590 is 18835511.