Least Common Multiple of 82/759, 984/304, 210/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/759, 984/304, 210/419 quickly i.e. 34440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/759, 984/304, 210/419 is 34440.

LCM(82/759, 984/304, 210/419) = 34440

LCM of 82/759, 984/304, 210/419

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 82/759,984/304,210/419

Given numbers are 82/759,984/304,210/419

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 82,984,210

Least Common Multiple of Numerators i.e. LCM of 82,984,210 is 34440.

GCF of Denominators means GCF of 759,304,419 as per the given fractions.

GCF of 759,304,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,984,210

LCM of Fractions 82/759,984/304,210/419 is 34440

2 82, 984, 210
3 41, 492, 105
41 41, 164, 35
1, 4, 35

∴ So the LCM of the given numbers is 2 x 3 x 41 x 1 x 4 x 35 = 34440

Least Common Multiple of 82,984,210 with GCF Formula

Least Common Multiple of 82,984,210 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 82,984,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,984,210) = 2

common factors(in case of two or more numbers have common factors) = 246

GCF(82,984,210) x common factors =2 x 246 = 492

LCM(82,984,210) = ( 82 × 984 × 210 ) / 492

LCM(82,984,210) = 16944480 / 492

LCM(82,984,210) = 34440


Lets's calculate GCF of 759,304,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34440/1

Therefore the LCM of Fractions 82/759,984/304,210/419 is 34440

Greatest Common Factor of 759,304,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,304,419 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 759,304,419 . The biggest common factor number is the GCF number.
So the greatest common factor 759,304,419 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 82/759, 984/304, 210/419

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 82/759, 984/304, 210/419?

Answer: LCM of Numerators as per given numbers 82/759, 984/304, 210/419 is

LCM of Numerators i.e. for 82,984,210 is 34440

GCF of denominators i.e. for 759,304,419 is 1.

Thus, LCM of Fractions is 34440.Finally, LCM of Fractions for 82/759, 984/304, 210/419 is 34440.