Least Common Multiple of 22/43, 46/289, 690/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/43, 46/289, 690/849 quickly i.e. 7590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/43, 46/289, 690/849 is 7590.

LCM(22/43, 46/289, 690/849) = 7590

LCM of 22/43, 46/289, 690/849

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 22/43,46/289,690/849

Given numbers are 22/43,46/289,690/849

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 22,46,690

Least Common Multiple of Numerators i.e. LCM of 22,46,690 is 7590.

GCF of Denominators means GCF of 43,289,849 as per the given fractions.

GCF of 43,289,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,46,690

LCM of Fractions 22/43,46/289,690/849 is 7590

2 22, 46, 690
23 11, 23, 345
11, 1, 15

∴ So the LCM of the given numbers is 2 x 23 x 11 x 1 x 15 = 7590

Least Common Multiple of 22,46,690 with GCF Formula

Least Common Multiple of 22,46,690 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 22,46,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,46,690) = 2

common factors(in case of two or more numbers have common factors) = 46

GCF(22,46,690) x common factors =2 x 46 = 92

LCM(22,46,690) = ( 22 × 46 × 690 ) / 92

LCM(22,46,690) = 698280 / 92

LCM(22,46,690) = 7590


Lets's calculate GCF of 43,289,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7590/1

Therefore the LCM of Fractions 22/43,46/289,690/849 is 7590

Greatest Common Factor of 43,289,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,289,849 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 43,289,849 . The biggest common factor number is the GCF number.
So the greatest common factor 43,289,849 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 22/43, 46/289, 690/849

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 22/43, 46/289, 690/849?

Answer: LCM of Numerators as per given numbers 22/43, 46/289, 690/849 is

LCM of Numerators i.e. for 22,46,690 is 7590

GCF of denominators i.e. for 43,289,849 is 1.

Thus, LCM of Fractions is 7590.Finally, LCM of Fractions for 22/43, 46/289, 690/849 is 7590.