Least Common Multiple of 308/30, 900/5467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/30, 900/5467 quickly i.e. 69300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/30, 900/5467 is 69300.

LCM(308/30, 900/5467) = 69300

LCM of 308/30, 900/5467

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 308/30,900/5467

Given numbers are 308/30,900/5467

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 308,900

Least Common Multiple of Numerators i.e. LCM of 308,900 is 69300.

GCF of Denominators means GCF of 30,5467 as per the given fractions.

GCF of 30,5467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,900

LCM of Fractions 308/30,900/5467 is 69300

2 308, 900
2 154, 450
77, 225

∴ So the LCM of the given numbers is 2 x 2 x 77 x 225 = 69300

Least Common Multiple of 308,900 with GCF Formula

Least Common Multiple of 308,900 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 308,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,900) = 4

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

GCF(308,900) x common factors =4 x 1 = 4

LCM(308,900) = ( 308 × 900 ) / 4

LCM(308,900) = 277200 / 4

LCM(308,900) = 69300


Lets's calculate GCF of 30,5467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69300/1

Therefore the LCM of Fractions 308/30,900/5467 is 69300

Greatest Common Factor of 30,5467 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,5467 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 5467

List of positive integer factors of 5467 that divides 5467 without a remainder.

1,7,11,71,77,497,781,5467

Greatest Common Factor

We found the factors 30,5467 . The biggest common factor number is the GCF number.
So the greatest common factor 30,5467 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 308/30, 900/5467

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 308/30, 900/5467?

Answer: LCM of Numerators as per given numbers 308/30, 900/5467 is

LCM of Numerators i.e. for 308,900 is 69300

GCF of denominators i.e. for 30,5467 is 1.

Thus, LCM of Fractions is 69300.Finally, LCM of Fractions for 308/30, 900/5467 is 69300.