Least Common Multiple of 794/35, 509/16, 524/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 794/35, 509/16, 524/18 quickly i.e. 105886252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/35, 509/16, 524/18 is 105886252.

LCM(794/35, 509/16, 524/18) = 105886252

LCM of 794/35, 509/16, 524/18

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 794/35,509/16,524/18

Given numbers are 794/35,509/16,524/18

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 794,509,524

Least Common Multiple of Numerators i.e. LCM of 794,509,524 is 105886252.

GCF of Denominators means GCF of 35,16,18 as per the given fractions.

GCF of 35,16,18 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,509,524

LCM of Fractions 794/35,509/16,524/18 is 105886252

2 794, 509, 524
397, 509, 262

∴ So the LCM of the given numbers is 2 x 397 x 509 x 262 = 105886252

Least Common Multiple of 794,509,524 with GCF Formula

Least Common Multiple of 794,509,524 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 794,509,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,509,524) = 1

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

GCF(794,509,524) x common factors =1 x 2 = 2

LCM(794,509,524) = ( 794 × 509 × 524 ) / 2

LCM(794,509,524) = 211772504 / 2

LCM(794,509,524) = 105886252


Lets's calculate GCF of 35,16,18

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105886252/1

Therefore the LCM of Fractions 794/35,509/16,524/18 is 105886252

Greatest Common Factor of 35,16,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,16,18 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 16

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

1,2,4,8,16

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 35,16,18 . The biggest common factor number is the GCF number.
So the greatest common factor 35,16,18 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 794/35, 509/16, 524/18

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 794/35, 509/16, 524/18?

Answer: LCM of Numerators as per given numbers 794/35, 509/16, 524/18 is

LCM of Numerators i.e. for 794,509,524 is 105886252

GCF of denominators i.e. for 35,16,18 is 1.

Thus, LCM of Fractions is 105886252.Finally, LCM of Fractions for 794/35, 509/16, 524/18 is 105886252.