Least Common Multiple of 23/12, 28/70, 98/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/12, 28/70, 98/585 quickly i.e. 4508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/12, 28/70, 98/585 is 4508.

LCM(23/12, 28/70, 98/585) = 4508

LCM of 23/12, 28/70, 98/585

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 23/12,28/70,98/585

Given numbers are 23/12,28/70,98/585

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 23,28,98

Least Common Multiple of Numerators i.e. LCM of 23,28,98 is 4508.

GCF of Denominators means GCF of 12,70,585 as per the given fractions.

GCF of 12,70,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,28,98

LCM of Fractions 23/12,28/70,98/585 is 4508

2 23, 28, 98
7 23, 14, 49
23, 2, 7

∴ So the LCM of the given numbers is 2 x 7 x 23 x 2 x 7 = 4508

Least Common Multiple of 23,28,98 with GCF Formula

Least Common Multiple of 23,28,98 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 23,28,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,28,98) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(23,28,98) x common factors =1 x 14 = 14

LCM(23,28,98) = ( 23 × 28 × 98 ) / 14

LCM(23,28,98) = 63112 / 14

LCM(23,28,98) = 4508


Lets's calculate GCF of 12,70,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4508/1

Therefore the LCM of Fractions 23/12,28/70,98/585 is 4508

Greatest Common Factor of 12,70,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,70,585 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 12,70,585 . The biggest common factor number is the GCF number.
So the greatest common factor 12,70,585 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 23/12, 28/70, 98/585

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 23/12, 28/70, 98/585?

Answer: LCM of Numerators as per given numbers 23/12, 28/70, 98/585 is

LCM of Numerators i.e. for 23,28,98 is 4508

GCF of denominators i.e. for 12,70,585 is 1.

Thus, LCM of Fractions is 4508.Finally, LCM of Fractions for 23/12, 28/70, 98/585 is 4508.