Least Common Multiple of 397/30, 902/12, 913/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/30, 902/12, 913/574 quickly i.e. 14860901 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/30, 902/12, 913/574 is 14860901.

LCM(397/30, 902/12, 913/574) = 14860901

LCM of 397/30, 902/12, 913/574

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 397/30,902/12,913/574

Given numbers are 397/30,902/12,913/574

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 397,902,913

Least Common Multiple of Numerators i.e. LCM of 397,902,913 is 29721802.

GCF of Denominators means GCF of 30,12,574 as per the given fractions.

GCF of 30,12,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,902,913

LCM of Fractions 397/30,902/12,913/574 is 14860901

11 397, 902, 913
397, 82, 83

∴ So the LCM of the given numbers is 11 x 397 x 82 x 83 = 29721802

Least Common Multiple of 397,902,913 with GCF Formula

Least Common Multiple of 397,902,913 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 397,902,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,902,913) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(397,902,913) x common factors =1 x 11 = 11

LCM(397,902,913) = ( 397 × 902 × 913 ) / 11

LCM(397,902,913) = 326939822 / 11

LCM(397,902,913) = 29721802


Lets's calculate GCF of 30,12,574

2 30, 12, 574
15, 6, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29721802/2

Therefore the LCM of Fractions 397/30,902/12,913/574 is 14860901

Greatest Common Factor of 30,12,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,12,574 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 12

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

1,2,3,4,6,12

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 30,12,574 . The biggest common factor number is the GCF number.
So the greatest common factor 30,12,574 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 397/30, 902/12, 913/574

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 397/30, 902/12, 913/574?

Answer: LCM of Numerators as per given numbers 397/30, 902/12, 913/574 is

LCM of Numerators i.e. for 397,902,913 is 29721802

GCF of denominators i.e. for 30,12,574 is 2.

Thus, LCM of Fractions is 14860901.Finally, LCM of Fractions for 397/30, 902/12, 913/574 is 14860901.