Least Common Multiple of 34/82, 90/30, 72/63, 95/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/82, 90/30, 72/63, 95/899 quickly i.e. 116280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/82, 90/30, 72/63, 95/899 is 116280.

LCM(34/82, 90/30, 72/63, 95/899) = 116280

LCM of 34/82, 90/30, 72/63, 95/899

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 34/82,90/30,72/63,95/899

Given numbers are 34/82,90/30,72/63,95/899

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 34,90,72,95

Least Common Multiple of Numerators i.e. LCM of 34,90,72,95 is 116280.

GCF of Denominators means GCF of 82,30,63,899 as per the given fractions.

GCF of 82,30,63,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,90,72,95

LCM of Fractions 34/82,90/30,72/63,95/899 is 116280

2 34, 90, 72, 95
3 17, 45, 36, 95
3 17, 15, 12, 95
5 17, 5, 4, 95
17, 1, 4, 19

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 17 x 1 x 4 x 19 = 116280

Least Common Multiple of 34,90,72,95 with GCF Formula

Least Common Multiple of 34,90,72,95 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 34,90,72,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,90,72,95) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(34,90,72,95) x common factors =1 x 180 = 180

LCM(34,90,72,95) = ( 34 × 90 × 72 × 95 ) / 180

LCM(34,90,72,95) = 20930400 / 180

LCM(34,90,72,95) = 116280


Lets's calculate GCF of 82,30,63,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116280/1

Therefore the LCM of Fractions 34/82,90/30,72/63,95/899 is 116280

Greatest Common Factor of 82,30,63,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,30,63,899 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 82,30,63,899 . The biggest common factor number is the GCF number.
So the greatest common factor 82,30,63,899 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 34/82, 90/30, 72/63, 95/899

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 34/82, 90/30, 72/63, 95/899?

Answer: LCM of Numerators as per given numbers 34/82, 90/30, 72/63, 95/899 is

LCM of Numerators i.e. for 34,90,72,95 is 116280

GCF of denominators i.e. for 82,30,63,899 is 1.

Thus, LCM of Fractions is 116280.Finally, LCM of Fractions for 34/82, 90/30, 72/63, 95/899 is 116280.