Least Common Multiple of 769/16, 702/15, 814/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/16, 702/15, 814/839 quickly i.e. 219714066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/16, 702/15, 814/839 is 219714066.

LCM(769/16, 702/15, 814/839) = 219714066

LCM of 769/16, 702/15, 814/839

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 769/16,702/15,814/839

Given numbers are 769/16,702/15,814/839

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 769,702,814

Least Common Multiple of Numerators i.e. LCM of 769,702,814 is 219714066.

GCF of Denominators means GCF of 16,15,839 as per the given fractions.

GCF of 16,15,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,702,814

LCM of Fractions 769/16,702/15,814/839 is 219714066

2 769, 702, 814
769, 351, 407

∴ So the LCM of the given numbers is 2 x 769 x 351 x 407 = 219714066

Least Common Multiple of 769,702,814 with GCF Formula

Least Common Multiple of 769,702,814 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 769,702,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,702,814) = 1

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

GCF(769,702,814) x common factors =1 x 2 = 2

LCM(769,702,814) = ( 769 × 702 × 814 ) / 2

LCM(769,702,814) = 439428132 / 2

LCM(769,702,814) = 219714066


Lets's calculate GCF of 16,15,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219714066/1

Therefore the LCM of Fractions 769/16,702/15,814/839 is 219714066

Greatest Common Factor of 16,15,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,15,839 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 16,15,839 . The biggest common factor number is the GCF number.
So the greatest common factor 16,15,839 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 769/16, 702/15, 814/839

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 769/16, 702/15, 814/839?

Answer: LCM of Numerators as per given numbers 769/16, 702/15, 814/839 is

LCM of Numerators i.e. for 769,702,814 is 219714066

GCF of denominators i.e. for 16,15,839 is 1.

Thus, LCM of Fractions is 219714066.Finally, LCM of Fractions for 769/16, 702/15, 814/839 is 219714066.