Least Common Multiple of 34/827, 180/90, 821/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/827, 180/90, 821/536 quickly i.e. 2512260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/827, 180/90, 821/536 is 2512260.

LCM(34/827, 180/90, 821/536) = 2512260

LCM of 34/827, 180/90, 821/536

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 34/827,180/90,821/536

Given numbers are 34/827,180/90,821/536

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 34,180,821

Least Common Multiple of Numerators i.e. LCM of 34,180,821 is 2512260.

GCF of Denominators means GCF of 827,90,536 as per the given fractions.

GCF of 827,90,536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,180,821

LCM of Fractions 34/827,180/90,821/536 is 2512260

2 34, 180, 821
17, 90, 821

∴ So the LCM of the given numbers is 2 x 17 x 90 x 821 = 2512260

Least Common Multiple of 34,180,821 with GCF Formula

Least Common Multiple of 34,180,821 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 34,180,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,180,821) = 1

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

GCF(34,180,821) x common factors =1 x 2 = 2

LCM(34,180,821) = ( 34 × 180 × 821 ) / 2

LCM(34,180,821) = 5024520 / 2

LCM(34,180,821) = 2512260


Lets's calculate GCF of 827,90,536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2512260/1

Therefore the LCM of Fractions 34/827,180/90,821/536 is 2512260

Greatest Common Factor of 827,90,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,90,536 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 827,90,536 . The biggest common factor number is the GCF number.
So the greatest common factor 827,90,536 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 34/827, 180/90, 821/536

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 34/827, 180/90, 821/536?

Answer: LCM of Numerators as per given numbers 34/827, 180/90, 821/536 is

LCM of Numerators i.e. for 34,180,821 is 2512260

GCF of denominators i.e. for 827,90,536 is 1.

Thus, LCM of Fractions is 2512260.Finally, LCM of Fractions for 34/827, 180/90, 821/536 is 2512260.