Least Common Multiple of 28/850, 76/728, 388/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/850, 76/728, 388/694 quickly i.e. 25802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/850, 76/728, 388/694 is 25802.

LCM(28/850, 76/728, 388/694) = 25802

LCM of 28/850, 76/728, 388/694

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 28/850,76/728,388/694

Given numbers are 28/850,76/728,388/694

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 28,76,388

Least Common Multiple of Numerators i.e. LCM of 28,76,388 is 51604.

GCF of Denominators means GCF of 850,728,694 as per the given fractions.

GCF of 850,728,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,76,388

LCM of Fractions 28/850,76/728,388/694 is 25802

2 28, 76, 388
2 14, 38, 194
7, 19, 97

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 97 = 51604

Least Common Multiple of 28,76,388 with GCF Formula

Least Common Multiple of 28,76,388 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 28,76,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,76,388) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(28,76,388) x common factors =4 x 4 = 16

LCM(28,76,388) = ( 28 × 76 × 388 ) / 16

LCM(28,76,388) = 825664 / 16

LCM(28,76,388) = 51604


Lets's calculate GCF of 850,728,694

2 850, 728, 694
425, 364, 347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51604/2

Therefore the LCM of Fractions 28/850,76/728,388/694 is 25802

Greatest Common Factor of 850,728,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,728,694 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 850,728,694 . The biggest common factor number is the GCF number.
So the greatest common factor 850,728,694 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 28/850, 76/728, 388/694

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 28/850, 76/728, 388/694?

Answer: LCM of Numerators as per given numbers 28/850, 76/728, 388/694 is

LCM of Numerators i.e. for 28,76,388 is 51604

GCF of denominators i.e. for 850,728,694 is 2.

Thus, LCM of Fractions is 25802.Finally, LCM of Fractions for 28/850, 76/728, 388/694 is 25802.