Least Common Multiple of 3/30, 9/40, 89/77, 31/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/30, 9/40, 89/77, 31/468 quickly i.e. 24831 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/30, 9/40, 89/77, 31/468 is 24831.

LCM(3/30, 9/40, 89/77, 31/468) = 24831

LCM of 3/30, 9/40, 89/77, 31/468

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 3/30,9/40,89/77,31/468

Given numbers are 3/30,9/40,89/77,31/468

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 3,9,89,31

Least Common Multiple of Numerators i.e. LCM of 3,9,89,31 is 24831.

GCF of Denominators means GCF of 30,40,77,468 as per the given fractions.

GCF of 30,40,77,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,9,89,31

LCM of Fractions 3/30,9/40,89/77,31/468 is 24831

3 3, 9, 89, 31
1, 3, 89, 31

∴ So the LCM of the given numbers is 3 x 1 x 3 x 89 x 31 = 24831

Least Common Multiple of 3,9,89,31 with GCF Formula

Least Common Multiple of 3,9,89,31 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 3,9,89,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,9,89,31) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,9,89,31) x common factors =1 x 3 = 3

LCM(3,9,89,31) = ( 3 × 9 × 89 × 31 ) / 3

LCM(3,9,89,31) = 74493 / 3

LCM(3,9,89,31) = 24831


Lets's calculate GCF of 30,40,77,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24831/1

Therefore the LCM of Fractions 3/30,9/40,89/77,31/468 is 24831

Greatest Common Factor of 30,40,77,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,40,77,468 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 77

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

1,7,11,77

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 30,40,77,468 . The biggest common factor number is the GCF number.
So the greatest common factor 30,40,77,468 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 3/30, 9/40, 89/77, 31/468

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 3/30, 9/40, 89/77, 31/468?

Answer: LCM of Numerators as per given numbers 3/30, 9/40, 89/77, 31/468 is

LCM of Numerators i.e. for 3,9,89,31 is 24831

GCF of denominators i.e. for 30,40,77,468 is 1.

Thus, LCM of Fractions is 24831.Finally, LCM of Fractions for 3/30, 9/40, 89/77, 31/468 is 24831.