Least Common Multiple of 890/74, 592/14, 583/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 890/74, 592/14, 583/12 quickly i.e. 76792760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 890/74, 592/14, 583/12 is 76792760.

LCM(890/74, 592/14, 583/12) = 76792760

LCM of 890/74, 592/14, 583/12

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 890/74,592/14,583/12

Given numbers are 890/74,592/14,583/12

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 890,592,583

Least Common Multiple of Numerators i.e. LCM of 890,592,583 is 153585520.

GCF of Denominators means GCF of 74,14,12 as per the given fractions.

GCF of 74,14,12 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 890,592,583

LCM of Fractions 890/74,592/14,583/12 is 76792760

2 890, 592, 583
445, 296, 583

∴ So the LCM of the given numbers is 2 x 445 x 296 x 583 = 153585520

Least Common Multiple of 890,592,583 with GCF Formula

Least Common Multiple of 890,592,583 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 890,592,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,592,583) = 1

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

GCF(890,592,583) x common factors =1 x 2 = 2

LCM(890,592,583) = ( 890 × 592 × 583 ) / 2

LCM(890,592,583) = 307171040 / 2

LCM(890,592,583) = 153585520


Lets's calculate GCF of 74,14,12

2 74, 14, 12
37, 7, 6

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153585520/2

Therefore the LCM of Fractions 890/74,592/14,583/12 is 76792760

Greatest Common Factor of 74,14,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,14,12 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 12

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

1,2,3,4,6,12

Greatest Common Factor

We found the factors 74,14,12 . The biggest common factor number is the GCF number.
So the greatest common factor 74,14,12 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 890/74, 592/14, 583/12

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 890/74, 592/14, 583/12?

Answer: LCM of Numerators as per given numbers 890/74, 592/14, 583/12 is

LCM of Numerators i.e. for 890,592,583 is 153585520

GCF of denominators i.e. for 74,14,12 is 2.

Thus, LCM of Fractions is 76792760.Finally, LCM of Fractions for 890/74, 592/14, 583/12 is 76792760.