Least Common Multiple of 87/462, 62/138, 482/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/462, 62/138, 482/226 quickly i.e. 649977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/462, 62/138, 482/226 is 649977.

LCM(87/462, 62/138, 482/226) = 649977

LCM of 87/462, 62/138, 482/226

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 87/462,62/138,482/226

Given numbers are 87/462,62/138,482/226

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 87,62,482

Least Common Multiple of Numerators i.e. LCM of 87,62,482 is 1299954.

GCF of Denominators means GCF of 462,138,226 as per the given fractions.

GCF of 462,138,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,62,482

LCM of Fractions 87/462,62/138,482/226 is 649977

2 87, 62, 482
87, 31, 241

∴ So the LCM of the given numbers is 2 x 87 x 31 x 241 = 1299954

Least Common Multiple of 87,62,482 with GCF Formula

Least Common Multiple of 87,62,482 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 87,62,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,62,482) = 1

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

GCF(87,62,482) x common factors =1 x 2 = 2

LCM(87,62,482) = ( 87 × 62 × 482 ) / 2

LCM(87,62,482) = 2599908 / 2

LCM(87,62,482) = 1299954


Lets's calculate GCF of 462,138,226

2 462, 138, 226
231, 69, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1299954/2

Therefore the LCM of Fractions 87/462,62/138,482/226 is 649977

Greatest Common Factor of 462,138,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,138,226 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 462,138,226 . The biggest common factor number is the GCF number.
So the greatest common factor 462,138,226 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 87/462, 62/138, 482/226

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 87/462, 62/138, 482/226?

Answer: LCM of Numerators as per given numbers 87/462, 62/138, 482/226 is

LCM of Numerators i.e. for 87,62,482 is 1299954

GCF of denominators i.e. for 462,138,226 is 2.

Thus, LCM of Fractions is 649977.Finally, LCM of Fractions for 87/462, 62/138, 482/226 is 649977.