Least Common Multiple of 9/22, 3/45, 21/23, 77/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/22, 3/45, 21/23, 77/102 quickly i.e. 693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/22, 3/45, 21/23, 77/102 is 693.

LCM(9/22, 3/45, 21/23, 77/102) = 693

LCM of 9/22, 3/45, 21/23, 77/102

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 9/22,3/45,21/23,77/102

Given numbers are 9/22,3/45,21/23,77/102

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 9,3,21,77

Least Common Multiple of Numerators i.e. LCM of 9,3,21,77 is 693.

GCF of Denominators means GCF of 22,45,23,102 as per the given fractions.

GCF of 22,45,23,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,3,21,77

LCM of Fractions 9/22,3/45,21/23,77/102 is 693

3 9, 3, 21, 77
7 3, 1, 7, 77
3, 1, 1, 11

∴ So the LCM of the given numbers is 3 x 7 x 3 x 1 x 1 x 11 = 693

Least Common Multiple of 9,3,21,77 with GCF Formula

Least Common Multiple of 9,3,21,77 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 9,3,21,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,3,21,77) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(9,3,21,77) x common factors =1 x 63 = 63

LCM(9,3,21,77) = ( 9 × 3 × 21 × 77 ) / 63

LCM(9,3,21,77) = 43659 / 63

LCM(9,3,21,77) = 693


Lets's calculate GCF of 22,45,23,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693/1

Therefore the LCM of Fractions 9/22,3/45,21/23,77/102 is 693

Greatest Common Factor of 22,45,23,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,45,23,102 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 22,45,23,102 . The biggest common factor number is the GCF number.
So the greatest common factor 22,45,23,102 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 9/22, 3/45, 21/23, 77/102

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 9/22, 3/45, 21/23, 77/102?

Answer: LCM of Numerators as per given numbers 9/22, 3/45, 21/23, 77/102 is

LCM of Numerators i.e. for 9,3,21,77 is 693

GCF of denominators i.e. for 22,45,23,102 is 1.

Thus, LCM of Fractions is 693.Finally, LCM of Fractions for 9/22, 3/45, 21/23, 77/102 is 693.