Least Common Multiple of 82/508, 33/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/508, 33/127 quickly i.e. 2706/127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/508, 33/127 is 2706/127.

LCM(82/508, 33/127) = 2706/127

LCM of 82/508, 33/127

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 82/508,33/127

Given numbers are 82/508,33/127

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 82,33

Least Common Multiple of Numerators i.e. LCM of 82,33 is 2706.

GCF of Denominators means GCF of 508,127 as per the given fractions.

GCF of 508,127 is 127 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,33

LCM of Fractions 82/508,33/127 is 2706/127

Given numbers has no common factors except 1. So, there LCM is their product i.e 2706

Least Common Multiple of 82,33 with GCF Formula

Least Common Multiple of 82,33 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 82,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,33) = 1

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

GCF(82,33) x common factors =1 x 1 = 1

LCM(82,33) = ( 82 × 33 ) / 1

LCM(82,33) = 2706 / 1

LCM(82,33) = 2706


Lets's calculate GCF of 508,127

127 508, 127
4, 1

∴ So the GCF of the given numbers is 127 = 127

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2706/127

Therefore the LCM of Fractions 82/508,33/127 is 2706/127

Greatest Common Factor of 508,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,127 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors 508,127 . The biggest common factor number is the GCF number.
So the greatest common factor 508,127 is 127.


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 82/508, 33/127

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 82/508, 33/127?

Answer: LCM of Numerators as per given numbers 82/508, 33/127 is

LCM of Numerators i.e. for 82,33 is 2706

GCF of denominators i.e. for 508,127 is 127.

Thus, LCM of Fractions is 2706/127.Finally, LCM of Fractions for 82/508, 33/127 is 2706/127.