Least Common Multiple of 38/980, 23/303, 505/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/980, 23/303, 505/383 quickly i.e. 441370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/980, 23/303, 505/383 is 441370.

LCM(38/980, 23/303, 505/383) = 441370

LCM of 38/980, 23/303, 505/383

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 38/980,23/303,505/383

Given numbers are 38/980,23/303,505/383

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 38,23,505

Least Common Multiple of Numerators i.e. LCM of 38,23,505 is 441370.

GCF of Denominators means GCF of 980,303,383 as per the given fractions.

GCF of 980,303,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,23,505

LCM of Fractions 38/980,23/303,505/383 is 441370

Given numbers has no common factors except 1. So, there LCM is their product i.e 441370

Least Common Multiple of 38,23,505 with GCF Formula

Least Common Multiple of 38,23,505 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 38,23,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,23,505) = 1

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

GCF(38,23,505) x common factors =1 x 1 = 1

LCM(38,23,505) = ( 38 × 23 × 505 ) / 1

LCM(38,23,505) = 441370 / 1

LCM(38,23,505) = 441370


Lets's calculate GCF of 980,303,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441370/1

Therefore the LCM of Fractions 38/980,23/303,505/383 is 441370

Greatest Common Factor of 980,303,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,303,383 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 980,303,383 . The biggest common factor number is the GCF number.
So the greatest common factor 980,303,383 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 38/980, 23/303, 505/383

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 38/980, 23/303, 505/383?

Answer: LCM of Numerators as per given numbers 38/980, 23/303, 505/383 is

LCM of Numerators i.e. for 38,23,505 is 441370

GCF of denominators i.e. for 980,303,383 is 1.

Thus, LCM of Fractions is 441370.Finally, LCM of Fractions for 38/980, 23/303, 505/383 is 441370.