Least Common Multiple of 3/22, 9/77, 13/48, 69/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/22, 9/77, 13/48, 69/829 quickly i.e. 2691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/22, 9/77, 13/48, 69/829 is 2691.

LCM(3/22, 9/77, 13/48, 69/829) = 2691

LCM of 3/22, 9/77, 13/48, 69/829

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 3/22,9/77,13/48,69/829

Given numbers are 3/22,9/77,13/48,69/829

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 3,9,13,69

Least Common Multiple of Numerators i.e. LCM of 3,9,13,69 is 2691.

GCF of Denominators means GCF of 22,77,48,829 as per the given fractions.

GCF of 22,77,48,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,9,13,69

LCM of Fractions 3/22,9/77,13/48,69/829 is 2691

3 3, 9, 13, 69
1, 3, 13, 23

∴ So the LCM of the given numbers is 3 x 1 x 3 x 13 x 23 = 2691

Least Common Multiple of 3,9,13,69 with GCF Formula

Least Common Multiple of 3,9,13,69 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 3,9,13,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,9,13,69) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(3,9,13,69) x common factors =1 x 9 = 9

LCM(3,9,13,69) = ( 3 × 9 × 13 × 69 ) / 9

LCM(3,9,13,69) = 24219 / 9

LCM(3,9,13,69) = 2691


Lets's calculate GCF of 22,77,48,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2691/1

Therefore the LCM of Fractions 3/22,9/77,13/48,69/829 is 2691

Greatest Common Factor of 22,77,48,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,77,48,829 By Matching Biggest Common Factor Method

Factors of 22

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

1,2,11,22

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 22,77,48,829 . The biggest common factor number is the GCF number.
So the greatest common factor 22,77,48,829 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 3/22, 9/77, 13/48, 69/829

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 3/22, 9/77, 13/48, 69/829?

Answer: LCM of Numerators as per given numbers 3/22, 9/77, 13/48, 69/829 is

LCM of Numerators i.e. for 3,9,13,69 is 2691

GCF of denominators i.e. for 22,77,48,829 is 1.

Thus, LCM of Fractions is 2691.Finally, LCM of Fractions for 3/22, 9/77, 13/48, 69/829 is 2691.