Least Common Multiple of 16/794, 44/950, 688/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/794, 44/950, 688/267 quickly i.e. 7568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/794, 44/950, 688/267 is 7568.

LCM(16/794, 44/950, 688/267) = 7568

LCM of 16/794, 44/950, 688/267

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 16/794,44/950,688/267

Given numbers are 16/794,44/950,688/267

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 16,44,688

Least Common Multiple of Numerators i.e. LCM of 16,44,688 is 7568.

GCF of Denominators means GCF of 794,950,267 as per the given fractions.

GCF of 794,950,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,44,688

LCM of Fractions 16/794,44/950,688/267 is 7568

2 16, 44, 688
2 8, 22, 344
2 4, 11, 172
2 2, 11, 86
1, 11, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 11 x 43 = 7568

Least Common Multiple of 16,44,688 with GCF Formula

Least Common Multiple of 16,44,688 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 16,44,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,44,688) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(16,44,688) x common factors =4 x 16 = 64

LCM(16,44,688) = ( 16 × 44 × 688 ) / 64

LCM(16,44,688) = 484352 / 64

LCM(16,44,688) = 7568


Lets's calculate GCF of 794,950,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7568/1

Therefore the LCM of Fractions 16/794,44/950,688/267 is 7568

Greatest Common Factor of 794,950,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,950,267 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

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

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 794,950,267 . The biggest common factor number is the GCF number.
So the greatest common factor 794,950,267 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 16/794, 44/950, 688/267

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 16/794, 44/950, 688/267?

Answer: LCM of Numerators as per given numbers 16/794, 44/950, 688/267 is

LCM of Numerators i.e. for 16,44,688 is 7568

GCF of denominators i.e. for 794,950,267 is 1.

Thus, LCM of Fractions is 7568.Finally, LCM of Fractions for 16/794, 44/950, 688/267 is 7568.