Least Common Multiple of 52/19, 82/54, 67/98, 44/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/19, 82/54, 67/98, 44/880 quickly i.e. 1571284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/19, 82/54, 67/98, 44/880 is 1571284.

LCM(52/19, 82/54, 67/98, 44/880) = 1571284

LCM of 52/19, 82/54, 67/98, 44/880

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 52/19,82/54,67/98,44/880

Given numbers are 52/19,82/54,67/98,44/880

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 52,82,67,44

Least Common Multiple of Numerators i.e. LCM of 52,82,67,44 is 1571284.

GCF of Denominators means GCF of 19,54,98,880 as per the given fractions.

GCF of 19,54,98,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,82,67,44

LCM of Fractions 52/19,82/54,67/98,44/880 is 1571284

2 52, 82, 67, 44
2 26, 41, 67, 22
13, 41, 67, 11

∴ So the LCM of the given numbers is 2 x 2 x 13 x 41 x 67 x 11 = 1571284

Least Common Multiple of 52,82,67,44 with GCF Formula

Least Common Multiple of 52,82,67,44 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 52,82,67,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,82,67,44) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(52,82,67,44) x common factors =1 x 8 = 8

LCM(52,82,67,44) = ( 52 × 82 × 67 × 44 ) / 8

LCM(52,82,67,44) = 12570272 / 8

LCM(52,82,67,44) = 1571284


Lets's calculate GCF of 19,54,98,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1571284/1

Therefore the LCM of Fractions 52/19,82/54,67/98,44/880 is 1571284

Greatest Common Factor of 19,54,98,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,54,98,880 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 19,54,98,880 . The biggest common factor number is the GCF number.
So the greatest common factor 19,54,98,880 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 52/19, 82/54, 67/98, 44/880

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 52/19, 82/54, 67/98, 44/880?

Answer: LCM of Numerators as per given numbers 52/19, 82/54, 67/98, 44/880 is

LCM of Numerators i.e. for 52,82,67,44 is 1571284

GCF of denominators i.e. for 19,54,98,880 is 1.

Thus, LCM of Fractions is 1571284.Finally, LCM of Fractions for 52/19, 82/54, 67/98, 44/880 is 1571284.