Least Common Multiple of 16/758, 678/563, 393/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/758, 678/563, 393/548 quickly i.e. 710544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/758, 678/563, 393/548 is 710544.

LCM(16/758, 678/563, 393/548) = 710544

LCM of 16/758, 678/563, 393/548

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 16/758,678/563,393/548

Given numbers are 16/758,678/563,393/548

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 16,678,393

Least Common Multiple of Numerators i.e. LCM of 16,678,393 is 710544.

GCF of Denominators means GCF of 758,563,548 as per the given fractions.

GCF of 758,563,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,678,393

LCM of Fractions 16/758,678/563,393/548 is 710544

2 16, 678, 393
3 8, 339, 393
8, 113, 131

∴ So the LCM of the given numbers is 2 x 3 x 8 x 113 x 131 = 710544

Least Common Multiple of 16,678,393 with GCF Formula

Least Common Multiple of 16,678,393 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 16,678,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,678,393) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(16,678,393) x common factors =1 x 6 = 6

LCM(16,678,393) = ( 16 × 678 × 393 ) / 6

LCM(16,678,393) = 4263264 / 6

LCM(16,678,393) = 710544


Lets's calculate GCF of 758,563,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 710544/1

Therefore the LCM of Fractions 16/758,678/563,393/548 is 710544

Greatest Common Factor of 758,563,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,563,548 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 758,563,548 . The biggest common factor number is the GCF number.
So the greatest common factor 758,563,548 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 16/758, 678/563, 393/548

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 16/758, 678/563, 393/548?

Answer: LCM of Numerators as per given numbers 16/758, 678/563, 393/548 is

LCM of Numerators i.e. for 16,678,393 is 710544

GCF of denominators i.e. for 758,563,548 is 1.

Thus, LCM of Fractions is 710544.Finally, LCM of Fractions for 16/758, 678/563, 393/548 is 710544.