Least Common Multiple of 778/16, 484/46, 502/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 778/16, 484/46, 502/406 quickly i.e. 23628638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 778/16, 484/46, 502/406 is 23628638.

LCM(778/16, 484/46, 502/406) = 23628638

LCM of 778/16, 484/46, 502/406

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 778/16,484/46,502/406

Given numbers are 778/16,484/46,502/406

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 778,484,502

Least Common Multiple of Numerators i.e. LCM of 778,484,502 is 47257276.

GCF of Denominators means GCF of 16,46,406 as per the given fractions.

GCF of 16,46,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 778,484,502

LCM of Fractions 778/16,484/46,502/406 is 23628638

2 778, 484, 502
389, 242, 251

∴ So the LCM of the given numbers is 2 x 389 x 242 x 251 = 47257276

Least Common Multiple of 778,484,502 with GCF Formula

Least Common Multiple of 778,484,502 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 778,484,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,484,502) = 2

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

GCF(778,484,502) x common factors =2 x 2 = 4

LCM(778,484,502) = ( 778 × 484 × 502 ) / 4

LCM(778,484,502) = 189029104 / 4

LCM(778,484,502) = 47257276


Lets's calculate GCF of 16,46,406

2 16, 46, 406
8, 23, 203

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47257276/2

Therefore the LCM of Fractions 778/16,484/46,502/406 is 23628638

Greatest Common Factor of 16,46,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,46,406 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 16,46,406 . The biggest common factor number is the GCF number.
So the greatest common factor 16,46,406 is 2.


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 778/16, 484/46, 502/406

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 778/16, 484/46, 502/406?

Answer: LCM of Numerators as per given numbers 778/16, 484/46, 502/406 is

LCM of Numerators i.e. for 778,484,502 is 47257276

GCF of denominators i.e. for 16,46,406 is 2.

Thus, LCM of Fractions is 23628638.Finally, LCM of Fractions for 778/16, 484/46, 502/406 is 23628638.