Least Common Multiple of 9/65, 7/45, 9/85, 67/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/65, 7/45, 9/85, 67/545 quickly i.e. 4221/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/65, 7/45, 9/85, 67/545 is 4221/5.

LCM(9/65, 7/45, 9/85, 67/545) = 4221/5

LCM of 9/65, 7/45, 9/85, 67/545

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 9/65,7/45,9/85,67/545

Given numbers are 9/65,7/45,9/85,67/545

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 9,7,9,67

Least Common Multiple of Numerators i.e. LCM of 9,7,9,67 is 4221.

GCF of Denominators means GCF of 65,45,85,545 as per the given fractions.

GCF of 65,45,85,545 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,7,9,67

LCM of Fractions 9/65,7/45,9/85,67/545 is 4221/5

3 9, 7, 9, 67
3 3, 7, 3, 67
1, 7, 1, 67

∴ So the LCM of the given numbers is 3 x 3 x 1 x 7 x 1 x 67 = 4221

Least Common Multiple of 9,7,9,67 with GCF Formula

Least Common Multiple of 9,7,9,67 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 9,7,9,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,7,9,67) = 1

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

GCF(9,7,9,67) x common factors =1 x 9 = 9

LCM(9,7,9,67) = ( 9 × 7 × 9 × 67 ) / 9

LCM(9,7,9,67) = 37989 / 9

LCM(9,7,9,67) = 4221


Lets's calculate GCF of 65,45,85,545

5 65, 45, 85, 545
13, 9, 17, 109

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4221/5

Therefore the LCM of Fractions 9/65,7/45,9/85,67/545 is 4221/5

Greatest Common Factor of 65,45,85,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,45,85,545 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 45

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

1,3,5,9,15,45

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 65,45,85,545 . The biggest common factor number is the GCF number.
So the greatest common factor 65,45,85,545 is 5.


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 9/65, 7/45, 9/85, 67/545

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 9/65, 7/45, 9/85, 67/545?

Answer: LCM of Numerators as per given numbers 9/65, 7/45, 9/85, 67/545 is

LCM of Numerators i.e. for 9,7,9,67 is 4221

GCF of denominators i.e. for 65,45,85,545 is 5.

Thus, LCM of Fractions is 4221/5.Finally, LCM of Fractions for 9/65, 7/45, 9/85, 67/545 is 4221/5.