Least Common Multiple of 93/870, 83/524, 915/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/870, 83/524, 915/280 quickly i.e. 2354295/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/870, 83/524, 915/280 is 2354295/2.

LCM(93/870, 83/524, 915/280) = 2354295/2

LCM of 93/870, 83/524, 915/280

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 93/870,83/524,915/280

Given numbers are 93/870,83/524,915/280

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 93,83,915

Least Common Multiple of Numerators i.e. LCM of 93,83,915 is 2354295.

GCF of Denominators means GCF of 870,524,280 as per the given fractions.

GCF of 870,524,280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,83,915

LCM of Fractions 93/870,83/524,915/280 is 2354295/2

3 93, 83, 915
31, 83, 305

∴ So the LCM of the given numbers is 3 x 31 x 83 x 305 = 2354295

Least Common Multiple of 93,83,915 with GCF Formula

Least Common Multiple of 93,83,915 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 93,83,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,83,915) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,83,915) x common factors =1 x 3 = 3

LCM(93,83,915) = ( 93 × 83 × 915 ) / 3

LCM(93,83,915) = 7062885 / 3

LCM(93,83,915) = 2354295


Lets's calculate GCF of 870,524,280

2 870, 524, 280
435, 262, 140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2354295/2

Therefore the LCM of Fractions 93/870,83/524,915/280 is 2354295/2

Greatest Common Factor of 870,524,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,524,280 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 870,524,280 . The biggest common factor number is the GCF number.
So the greatest common factor 870,524,280 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 93/870, 83/524, 915/280

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 93/870, 83/524, 915/280?

Answer: LCM of Numerators as per given numbers 93/870, 83/524, 915/280 is

LCM of Numerators i.e. for 93,83,915 is 2354295

GCF of denominators i.e. for 870,524,280 is 2.

Thus, LCM of Fractions is 2354295/2.Finally, LCM of Fractions for 93/870, 83/524, 915/280 is 2354295/2.