Least Common Multiple of 82/405, 749/251, 318/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/405, 749/251, 318/459 quickly i.e. 9765462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/405, 749/251, 318/459 is 9765462.

LCM(82/405, 749/251, 318/459) = 9765462

LCM of 82/405, 749/251, 318/459

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 82/405,749/251,318/459

Given numbers are 82/405,749/251,318/459

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 82,749,318

Least Common Multiple of Numerators i.e. LCM of 82,749,318 is 9765462.

GCF of Denominators means GCF of 405,251,459 as per the given fractions.

GCF of 405,251,459 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,749,318

LCM of Fractions 82/405,749/251,318/459 is 9765462

2 82, 749, 318
41, 749, 159

∴ So the LCM of the given numbers is 2 x 41 x 749 x 159 = 9765462

Least Common Multiple of 82,749,318 with GCF Formula

Least Common Multiple of 82,749,318 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 82,749,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,749,318) = 1

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

GCF(82,749,318) x common factors =1 x 2 = 2

LCM(82,749,318) = ( 82 × 749 × 318 ) / 2

LCM(82,749,318) = 19530924 / 2

LCM(82,749,318) = 9765462


Lets's calculate GCF of 405,251,459

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9765462/1

Therefore the LCM of Fractions 82/405,749/251,318/459 is 9765462

Greatest Common Factor of 405,251,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,251,459 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 405,251,459 . The biggest common factor number is the GCF number.
So the greatest common factor 405,251,459 is 1.


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 82/405, 749/251, 318/459

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 82/405, 749/251, 318/459?

Answer: LCM of Numerators as per given numbers 82/405, 749/251, 318/459 is

LCM of Numerators i.e. for 82,749,318 is 9765462

GCF of denominators i.e. for 405,251,459 is 1.

Thus, LCM of Fractions is 9765462.Finally, LCM of Fractions for 82/405, 749/251, 318/459 is 9765462.