Least Common Multiple of 289/573, 834/810, 221/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/573, 834/810, 221/635 quickly i.e. 3133338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/573, 834/810, 221/635 is 3133338.

LCM(289/573, 834/810, 221/635) = 3133338

LCM of 289/573, 834/810, 221/635

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 289/573,834/810,221/635

Given numbers are 289/573,834/810,221/635

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 289,834,221

Least Common Multiple of Numerators i.e. LCM of 289,834,221 is 3133338.

GCF of Denominators means GCF of 573,810,635 as per the given fractions.

GCF of 573,810,635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,834,221

LCM of Fractions 289/573,834/810,221/635 is 3133338

17 289, 834, 221
17, 834, 13

∴ So the LCM of the given numbers is 17 x 17 x 834 x 13 = 3133338

Least Common Multiple of 289,834,221 with GCF Formula

Least Common Multiple of 289,834,221 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 289,834,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,834,221) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(289,834,221) x common factors =1 x 17 = 17

LCM(289,834,221) = ( 289 × 834 × 221 ) / 17

LCM(289,834,221) = 53266746 / 17

LCM(289,834,221) = 3133338


Lets's calculate GCF of 573,810,635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3133338/1

Therefore the LCM of Fractions 289/573,834/810,221/635 is 3133338

Greatest Common Factor of 573,810,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,810,635 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 573,810,635 . The biggest common factor number is the GCF number.
So the greatest common factor 573,810,635 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 289/573, 834/810, 221/635

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 289/573, 834/810, 221/635?

Answer: LCM of Numerators as per given numbers 289/573, 834/810, 221/635 is

LCM of Numerators i.e. for 289,834,221 is 3133338

GCF of denominators i.e. for 573,810,635 is 1.

Thus, LCM of Fractions is 3133338.Finally, LCM of Fractions for 289/573, 834/810, 221/635 is 3133338.