Least Common Multiple of 3/38, 9/70, 5/99, 49/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/38, 9/70, 5/99, 49/612 quickly i.e. 2205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/38, 9/70, 5/99, 49/612 is 2205.

LCM(3/38, 9/70, 5/99, 49/612) = 2205

LCM of 3/38, 9/70, 5/99, 49/612

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 3/38,9/70,5/99,49/612

Given numbers are 3/38,9/70,5/99,49/612

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 3,9,5,49

Least Common Multiple of Numerators i.e. LCM of 3,9,5,49 is 2205.

GCF of Denominators means GCF of 38,70,99,612 as per the given fractions.

GCF of 38,70,99,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,9,5,49

LCM of Fractions 3/38,9/70,5/99,49/612 is 2205

3 3, 9, 5, 49
1, 3, 5, 49

∴ So the LCM of the given numbers is 3 x 1 x 3 x 5 x 49 = 2205

Least Common Multiple of 3,9,5,49 with GCF Formula

Least Common Multiple of 3,9,5,49 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 3,9,5,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,9,5,49) = 1

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

GCF(3,9,5,49) x common factors =1 x 3 = 3

LCM(3,9,5,49) = ( 3 × 9 × 5 × 49 ) / 3

LCM(3,9,5,49) = 6615 / 3

LCM(3,9,5,49) = 2205


Lets's calculate GCF of 38,70,99,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2205/1

Therefore the LCM of Fractions 3/38,9/70,5/99,49/612 is 2205

Greatest Common Factor of 38,70,99,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,70,99,612 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 38,70,99,612 . The biggest common factor number is the GCF number.
So the greatest common factor 38,70,99,612 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 3/38, 9/70, 5/99, 49/612

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 3/38, 9/70, 5/99, 49/612?

Answer: LCM of Numerators as per given numbers 3/38, 9/70, 5/99, 49/612 is

LCM of Numerators i.e. for 3,9,5,49 is 2205

GCF of denominators i.e. for 38,70,99,612 is 1.

Thus, LCM of Fractions is 2205.Finally, LCM of Fractions for 3/38, 9/70, 5/99, 49/612 is 2205.