Least Common Multiple of 82/95, 881/21, 488/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/95, 881/21, 488/754 quickly i.e. 17627048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/95, 881/21, 488/754 is 17627048.

LCM(82/95, 881/21, 488/754) = 17627048

LCM of 82/95, 881/21, 488/754

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 82/95,881/21,488/754

Given numbers are 82/95,881/21,488/754

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 82,881,488

Least Common Multiple of Numerators i.e. LCM of 82,881,488 is 17627048.

GCF of Denominators means GCF of 95,21,754 as per the given fractions.

GCF of 95,21,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,881,488

LCM of Fractions 82/95,881/21,488/754 is 17627048

2 82, 881, 488
41, 881, 244

∴ So the LCM of the given numbers is 2 x 41 x 881 x 244 = 17627048

Least Common Multiple of 82,881,488 with GCF Formula

Least Common Multiple of 82,881,488 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 82,881,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,881,488) = 1

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

GCF(82,881,488) x common factors =1 x 2 = 2

LCM(82,881,488) = ( 82 × 881 × 488 ) / 2

LCM(82,881,488) = 35254096 / 2

LCM(82,881,488) = 17627048


Lets's calculate GCF of 95,21,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17627048/1

Therefore the LCM of Fractions 82/95,881/21,488/754 is 17627048

Greatest Common Factor of 95,21,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,21,754 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 95,21,754 . The biggest common factor number is the GCF number.
So the greatest common factor 95,21,754 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/95, 881/21, 488/754

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 82/95, 881/21, 488/754?

Answer: LCM of Numerators as per given numbers 82/95, 881/21, 488/754 is

LCM of Numerators i.e. for 82,881,488 is 17627048

GCF of denominators i.e. for 95,21,754 is 1.

Thus, LCM of Fractions is 17627048.Finally, LCM of Fractions for 82/95, 881/21, 488/754 is 17627048.