Least Common Multiple of 23/47, 21/22, 702/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/47, 21/22, 702/833 quickly i.e. 113022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/47, 21/22, 702/833 is 113022.

LCM(23/47, 21/22, 702/833) = 113022

LCM of 23/47, 21/22, 702/833

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 23/47,21/22,702/833

Given numbers are 23/47,21/22,702/833

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 23,21,702

Least Common Multiple of Numerators i.e. LCM of 23,21,702 is 113022.

GCF of Denominators means GCF of 47,22,833 as per the given fractions.

GCF of 47,22,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,21,702

LCM of Fractions 23/47,21/22,702/833 is 113022

3 23, 21, 702
23, 7, 234

∴ So the LCM of the given numbers is 3 x 23 x 7 x 234 = 113022

Least Common Multiple of 23,21,702 with GCF Formula

Least Common Multiple of 23,21,702 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 23,21,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,21,702) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(23,21,702) x common factors =1 x 3 = 3

LCM(23,21,702) = ( 23 × 21 × 702 ) / 3

LCM(23,21,702) = 339066 / 3

LCM(23,21,702) = 113022


Lets's calculate GCF of 47,22,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113022/1

Therefore the LCM of Fractions 23/47,21/22,702/833 is 113022

Greatest Common Factor of 47,22,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,22,833 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 47,22,833 . The biggest common factor number is the GCF number.
So the greatest common factor 47,22,833 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 23/47, 21/22, 702/833

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 23/47, 21/22, 702/833?

Answer: LCM of Numerators as per given numbers 23/47, 21/22, 702/833 is

LCM of Numerators i.e. for 23,21,702 is 113022

GCF of denominators i.e. for 47,22,833 is 1.

Thus, LCM of Fractions is 113022.Finally, LCM of Fractions for 23/47, 21/22, 702/833 is 113022.