Least Common Multiple of 93/360, 904/864, 698/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/360, 904/864, 698/985 quickly i.e. 29341128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/360, 904/864, 698/985 is 29341128.

LCM(93/360, 904/864, 698/985) = 29341128

LCM of 93/360, 904/864, 698/985

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 93/360,904/864,698/985

Given numbers are 93/360,904/864,698/985

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 93,904,698

Least Common Multiple of Numerators i.e. LCM of 93,904,698 is 29341128.

GCF of Denominators means GCF of 360,864,985 as per the given fractions.

GCF of 360,864,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,904,698

LCM of Fractions 93/360,904/864,698/985 is 29341128

2 93, 904, 698
93, 452, 349

∴ So the LCM of the given numbers is 2 x 93 x 452 x 349 = 29341128

Least Common Multiple of 93,904,698 with GCF Formula

Least Common Multiple of 93,904,698 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 93,904,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,904,698) = 1

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

GCF(93,904,698) x common factors =1 x 2 = 2

LCM(93,904,698) = ( 93 × 904 × 698 ) / 2

LCM(93,904,698) = 58682256 / 2

LCM(93,904,698) = 29341128


Lets's calculate GCF of 360,864,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29341128/1

Therefore the LCM of Fractions 93/360,904/864,698/985 is 29341128

Greatest Common Factor of 360,864,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,864,985 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 360,864,985 . The biggest common factor number is the GCF number.
So the greatest common factor 360,864,985 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 93/360, 904/864, 698/985

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 93/360, 904/864, 698/985?

Answer: LCM of Numerators as per given numbers 93/360, 904/864, 698/985 is

LCM of Numerators i.e. for 93,904,698 is 29341128

GCF of denominators i.e. for 360,864,985 is 1.

Thus, LCM of Fractions is 29341128.Finally, LCM of Fractions for 93/360, 904/864, 698/985 is 29341128.