Least Common Multiple of 3/44, 9/68, 30/19, 45/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/44, 9/68, 30/19, 45/310 quickly i.e. 90 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/44, 9/68, 30/19, 45/310 is 90.

LCM(3/44, 9/68, 30/19, 45/310) = 90

LCM of 3/44, 9/68, 30/19, 45/310

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 3/44,9/68,30/19,45/310

Given numbers are 3/44,9/68,30/19,45/310

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 3,9,30,45

Least Common Multiple of Numerators i.e. LCM of 3,9,30,45 is 90.

GCF of Denominators means GCF of 44,68,19,310 as per the given fractions.

GCF of 44,68,19,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,9,30,45

LCM of Fractions 3/44,9/68,30/19,45/310 is 90

3 3, 9, 30, 45
3 1, 3, 10, 15
5 1, 1, 10, 5
1, 1, 2, 1

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 2 x 1 = 90

Least Common Multiple of 3,9,30,45 with GCF Formula

Least Common Multiple of 3,9,30,45 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 3,9,30,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,9,30,45) = 3

common factors(in case of two or more numbers have common factors) = 135

GCF(3,9,30,45) x common factors =3 x 135 = 405

LCM(3,9,30,45) = ( 3 × 9 × 30 × 45 ) / 405

LCM(3,9,30,45) = 36450 / 405

LCM(3,9,30,45) = 90


Lets's calculate GCF of 44,68,19,310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90/1

Therefore the LCM of Fractions 3/44,9/68,30/19,45/310 is 90

Greatest Common Factor of 44,68,19,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,68,19,310 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 44,68,19,310 . The biggest common factor number is the GCF number.
So the greatest common factor 44,68,19,310 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 3/44, 9/68, 30/19, 45/310

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 3/44, 9/68, 30/19, 45/310?

Answer: LCM of Numerators as per given numbers 3/44, 9/68, 30/19, 45/310 is

LCM of Numerators i.e. for 3,9,30,45 is 90

GCF of denominators i.e. for 44,68,19,310 is 1.

Thus, LCM of Fractions is 90.Finally, LCM of Fractions for 3/44, 9/68, 30/19, 45/310 is 90.