Least Common Multiple of 55/380, 300/332, 833/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/380, 300/332, 833/367 quickly i.e. 2748900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/380, 300/332, 833/367 is 2748900.

LCM(55/380, 300/332, 833/367) = 2748900

LCM of 55/380, 300/332, 833/367

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 55/380,300/332,833/367

Given numbers are 55/380,300/332,833/367

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 55,300,833

Least Common Multiple of Numerators i.e. LCM of 55,300,833 is 2748900.

GCF of Denominators means GCF of 380,332,367 as per the given fractions.

GCF of 380,332,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,300,833

LCM of Fractions 55/380,300/332,833/367 is 2748900

5 55, 300, 833
11, 60, 833

∴ So the LCM of the given numbers is 5 x 11 x 60 x 833 = 2748900

Least Common Multiple of 55,300,833 with GCF Formula

Least Common Multiple of 55,300,833 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 55,300,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,300,833) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,300,833) x common factors =1 x 5 = 5

LCM(55,300,833) = ( 55 × 300 × 833 ) / 5

LCM(55,300,833) = 13744500 / 5

LCM(55,300,833) = 2748900


Lets's calculate GCF of 380,332,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2748900/1

Therefore the LCM of Fractions 55/380,300/332,833/367 is 2748900

Greatest Common Factor of 380,332,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,332,367 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 380,332,367 . The biggest common factor number is the GCF number.
So the greatest common factor 380,332,367 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 55/380, 300/332, 833/367

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 55/380, 300/332, 833/367?

Answer: LCM of Numerators as per given numbers 55/380, 300/332, 833/367 is

LCM of Numerators i.e. for 55,300,833 is 2748900

GCF of denominators i.e. for 380,332,367 is 1.

Thus, LCM of Fractions is 2748900.Finally, LCM of Fractions for 55/380, 300/332, 833/367 is 2748900.