Least Common Multiple of 82/67, 984/18, 632/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/67, 984/18, 632/521 quickly i.e. 77736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/67, 984/18, 632/521 is 77736.

LCM(82/67, 984/18, 632/521) = 77736

LCM of 82/67, 984/18, 632/521

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 82/67,984/18,632/521

Given numbers are 82/67,984/18,632/521

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 82,984,632

Least Common Multiple of Numerators i.e. LCM of 82,984,632 is 77736.

GCF of Denominators means GCF of 67,18,521 as per the given fractions.

GCF of 67,18,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,984,632

LCM of Fractions 82/67,984/18,632/521 is 77736

2 82, 984, 632
2 41, 492, 316
2 41, 246, 158
41 41, 123, 79
1, 3, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 1 x 3 x 79 = 77736

Least Common Multiple of 82,984,632 with GCF Formula

Least Common Multiple of 82,984,632 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 82,984,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,984,632) = 2

common factors(in case of two or more numbers have common factors) = 328

GCF(82,984,632) x common factors =2 x 328 = 656

LCM(82,984,632) = ( 82 × 984 × 632 ) / 656

LCM(82,984,632) = 50994816 / 656

LCM(82,984,632) = 77736


Lets's calculate GCF of 67,18,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77736/1

Therefore the LCM of Fractions 82/67,984/18,632/521 is 77736

Greatest Common Factor of 67,18,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,18,521 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 67,18,521 . The biggest common factor number is the GCF number.
So the greatest common factor 67,18,521 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 82/67, 984/18, 632/521

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 82/67, 984/18, 632/521?

Answer: LCM of Numerators as per given numbers 82/67, 984/18, 632/521 is

LCM of Numerators i.e. for 82,984,632 is 77736

GCF of denominators i.e. for 67,18,521 is 1.

Thus, LCM of Fractions is 77736.Finally, LCM of Fractions for 82/67, 984/18, 632/521 is 77736.