Least Common Multiple of 38/269, 778/884, 498/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/269, 778/884, 498/510 quickly i.e. 3680718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/269, 778/884, 498/510 is 3680718.

LCM(38/269, 778/884, 498/510) = 3680718

LCM of 38/269, 778/884, 498/510

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 38/269,778/884,498/510

Given numbers are 38/269,778/884,498/510

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 38,778,498

Least Common Multiple of Numerators i.e. LCM of 38,778,498 is 3680718.

GCF of Denominators means GCF of 269,884,510 as per the given fractions.

GCF of 269,884,510 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,778,498

LCM of Fractions 38/269,778/884,498/510 is 3680718

2 38, 778, 498
19, 389, 249

∴ So the LCM of the given numbers is 2 x 19 x 389 x 249 = 3680718

Least Common Multiple of 38,778,498 with GCF Formula

Least Common Multiple of 38,778,498 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 38,778,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,778,498) = 2

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

GCF(38,778,498) x common factors =2 x 2 = 4

LCM(38,778,498) = ( 38 × 778 × 498 ) / 4

LCM(38,778,498) = 14722872 / 4

LCM(38,778,498) = 3680718


Lets's calculate GCF of 269,884,510

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3680718/1

Therefore the LCM of Fractions 38/269,778/884,498/510 is 3680718

Greatest Common Factor of 269,884,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,884,510 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 269,884,510 . The biggest common factor number is the GCF number.
So the greatest common factor 269,884,510 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 38/269, 778/884, 498/510

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 38/269, 778/884, 498/510?

Answer: LCM of Numerators as per given numbers 38/269, 778/884, 498/510 is

LCM of Numerators i.e. for 38,778,498 is 3680718

GCF of denominators i.e. for 269,884,510 is 1.

Thus, LCM of Fractions is 3680718.Finally, LCM of Fractions for 38/269, 778/884, 498/510 is 3680718.