Least Common Multiple of 290/45, 309/84, 647/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/45, 309/84, 647/276 quickly i.e. 19325890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/45, 309/84, 647/276 is 19325890.

LCM(290/45, 309/84, 647/276) = 19325890

LCM of 290/45, 309/84, 647/276

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 290/45,309/84,647/276

Given numbers are 290/45,309/84,647/276

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 290,309,647

Least Common Multiple of Numerators i.e. LCM of 290,309,647 is 57977670.

GCF of Denominators means GCF of 45,84,276 as per the given fractions.

GCF of 45,84,276 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,309,647

LCM of Fractions 290/45,309/84,647/276 is 19325890

Given numbers has no common factors except 1. So, there LCM is their product i.e 57977670

Least Common Multiple of 290,309,647 with GCF Formula

Least Common Multiple of 290,309,647 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 290,309,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,309,647) = 1

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

GCF(290,309,647) x common factors =1 x 1 = 1

LCM(290,309,647) = ( 290 × 309 × 647 ) / 1

LCM(290,309,647) = 57977670 / 1

LCM(290,309,647) = 57977670


Lets's calculate GCF of 45,84,276

3 45, 84, 276
15, 28, 92

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57977670/3

Therefore the LCM of Fractions 290/45,309/84,647/276 is 19325890

Greatest Common Factor of 45,84,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,84,276 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 45,84,276 . The biggest common factor number is the GCF number.
So the greatest common factor 45,84,276 is 3.


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 290/45, 309/84, 647/276

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 290/45, 309/84, 647/276?

Answer: LCM of Numerators as per given numbers 290/45, 309/84, 647/276 is

LCM of Numerators i.e. for 290,309,647 is 57977670

GCF of denominators i.e. for 45,84,276 is 3.

Thus, LCM of Fractions is 19325890.Finally, LCM of Fractions for 290/45, 309/84, 647/276 is 19325890.