Least Common Multiple of 1/96, 4/85, 61/89, 73/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/96, 4/85, 61/89, 73/507 quickly i.e. 17812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/96, 4/85, 61/89, 73/507 is 17812.

LCM(1/96, 4/85, 61/89, 73/507) = 17812

LCM of 1/96, 4/85, 61/89, 73/507

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 1/96,4/85,61/89,73/507

Given numbers are 1/96,4/85,61/89,73/507

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 1,4,61,73

Least Common Multiple of Numerators i.e. LCM of 1,4,61,73 is 17812.

GCF of Denominators means GCF of 96,85,89,507 as per the given fractions.

GCF of 96,85,89,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,4,61,73

LCM of Fractions 1/96,4/85,61/89,73/507 is 17812

Given numbers has no common factors except 1. So, there LCM is their product i.e 17812

Least Common Multiple of 1,4,61,73 with GCF Formula

Least Common Multiple of 1,4,61,73 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 1,4,61,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,4,61,73) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1,4,61,73) x common factors =1 x 1 = 1

LCM(1,4,61,73) = ( 1 × 4 × 61 × 73 ) / 1

LCM(1,4,61,73) = 17812 / 1

LCM(1,4,61,73) = 17812


Lets's calculate GCF of 96,85,89,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17812/1

Therefore the LCM of Fractions 1/96,4/85,61/89,73/507 is 17812

Greatest Common Factor of 96,85,89,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,85,89,507 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 85

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

1,5,17,85

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 96,85,89,507 . The biggest common factor number is the GCF number.
So the greatest common factor 96,85,89,507 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 1/96, 4/85, 61/89, 73/507

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 1/96, 4/85, 61/89, 73/507?

Answer: LCM of Numerators as per given numbers 1/96, 4/85, 61/89, 73/507 is

LCM of Numerators i.e. for 1,4,61,73 is 17812

GCF of denominators i.e. for 96,85,89,507 is 1.

Thus, LCM of Fractions is 17812.Finally, LCM of Fractions for 1/96, 4/85, 61/89, 73/507 is 17812.