Least Common Multiple of 38/333, 754/596, 825/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/333, 754/596, 825/950 quickly i.e. 11818950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/333, 754/596, 825/950 is 11818950.

LCM(38/333, 754/596, 825/950) = 11818950

LCM of 38/333, 754/596, 825/950

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 38/333,754/596,825/950

Given numbers are 38/333,754/596,825/950

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 38,754,825

Least Common Multiple of Numerators i.e. LCM of 38,754,825 is 11818950.

GCF of Denominators means GCF of 333,596,950 as per the given fractions.

GCF of 333,596,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,754,825

LCM of Fractions 38/333,754/596,825/950 is 11818950

2 38, 754, 825
19, 377, 825

∴ So the LCM of the given numbers is 2 x 19 x 377 x 825 = 11818950

Least Common Multiple of 38,754,825 with GCF Formula

Least Common Multiple of 38,754,825 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 38,754,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,754,825) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,754,825) x common factors =1 x 2 = 2

LCM(38,754,825) = ( 38 × 754 × 825 ) / 2

LCM(38,754,825) = 23637900 / 2

LCM(38,754,825) = 11818950


Lets's calculate GCF of 333,596,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11818950/1

Therefore the LCM of Fractions 38/333,754/596,825/950 is 11818950

Greatest Common Factor of 333,596,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,596,950 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 333,596,950 . The biggest common factor number is the GCF number.
So the greatest common factor 333,596,950 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 38/333, 754/596, 825/950

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 38/333, 754/596, 825/950?

Answer: LCM of Numerators as per given numbers 38/333, 754/596, 825/950 is

LCM of Numerators i.e. for 38,754,825 is 11818950

GCF of denominators i.e. for 333,596,950 is 1.

Thus, LCM of Fractions is 11818950.Finally, LCM of Fractions for 38/333, 754/596, 825/950 is 11818950.