Least Common Multiple of 8/728, 68/419, 35/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/728, 68/419, 35/986 quickly i.e. 4760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/728, 68/419, 35/986 is 4760.

LCM(8/728, 68/419, 35/986) = 4760

LCM of 8/728, 68/419, 35/986

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 8/728,68/419,35/986

Given numbers are 8/728,68/419,35/986

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 8,68,35

Least Common Multiple of Numerators i.e. LCM of 8,68,35 is 4760.

GCF of Denominators means GCF of 728,419,986 as per the given fractions.

GCF of 728,419,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,68,35

LCM of Fractions 8/728,68/419,35/986 is 4760

2 8, 68, 35
2 4, 34, 35
2, 17, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 35 = 4760

Least Common Multiple of 8,68,35 with GCF Formula

Least Common Multiple of 8,68,35 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 8,68,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,68,35) = 1

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

GCF(8,68,35) x common factors =1 x 4 = 4

LCM(8,68,35) = ( 8 × 68 × 35 ) / 4

LCM(8,68,35) = 19040 / 4

LCM(8,68,35) = 4760


Lets's calculate GCF of 728,419,986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4760/1

Therefore the LCM of Fractions 8/728,68/419,35/986 is 4760

Greatest Common Factor of 728,419,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,419,986 By Matching Biggest Common Factor Method

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 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 728,419,986 . The biggest common factor number is the GCF number.
So the greatest common factor 728,419,986 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 8/728, 68/419, 35/986

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 8/728, 68/419, 35/986?

Answer: LCM of Numerators as per given numbers 8/728, 68/419, 35/986 is

LCM of Numerators i.e. for 8,68,35 is 4760

GCF of denominators i.e. for 728,419,986 is 1.

Thus, LCM of Fractions is 4760.Finally, LCM of Fractions for 8/728, 68/419, 35/986 is 4760.