Least Common Multiple of 89/31, 28/67, 53/72, 46/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/31, 28/67, 53/72, 46/730 quickly i.e. 3037748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/31, 28/67, 53/72, 46/730 is 3037748.

LCM(89/31, 28/67, 53/72, 46/730) = 3037748

LCM of 89/31, 28/67, 53/72, 46/730

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 89/31,28/67,53/72,46/730

Given numbers are 89/31,28/67,53/72,46/730

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 89,28,53,46

Least Common Multiple of Numerators i.e. LCM of 89,28,53,46 is 3037748.

GCF of Denominators means GCF of 31,67,72,730 as per the given fractions.

GCF of 31,67,72,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,28,53,46

LCM of Fractions 89/31,28/67,53/72,46/730 is 3037748

2 89, 28, 53, 46
89, 14, 53, 23

∴ So the LCM of the given numbers is 2 x 89 x 14 x 53 x 23 = 3037748

Least Common Multiple of 89,28,53,46 with GCF Formula

Least Common Multiple of 89,28,53,46 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 89,28,53,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,28,53,46) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(89,28,53,46) x common factors =1 x 2 = 2

LCM(89,28,53,46) = ( 89 × 28 × 53 × 46 ) / 2

LCM(89,28,53,46) = 6075496 / 2

LCM(89,28,53,46) = 3037748


Lets's calculate GCF of 31,67,72,730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3037748/1

Therefore the LCM of Fractions 89/31,28/67,53/72,46/730 is 3037748

Greatest Common Factor of 31,67,72,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,67,72,730 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 31,67,72,730 . The biggest common factor number is the GCF number.
So the greatest common factor 31,67,72,730 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 89/31, 28/67, 53/72, 46/730

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 89/31, 28/67, 53/72, 46/730?

Answer: LCM of Numerators as per given numbers 89/31, 28/67, 53/72, 46/730 is

LCM of Numerators i.e. for 89,28,53,46 is 3037748

GCF of denominators i.e. for 31,67,72,730 is 1.

Thus, LCM of Fractions is 3037748.Finally, LCM of Fractions for 89/31, 28/67, 53/72, 46/730 is 3037748.