Least Common Multiple of 19/240, 12/758, 552/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/240, 12/758, 552/499 quickly i.e. 10488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/240, 12/758, 552/499 is 10488.

LCM(19/240, 12/758, 552/499) = 10488

LCM of 19/240, 12/758, 552/499

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 19/240,12/758,552/499

Given numbers are 19/240,12/758,552/499

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 19,12,552

Least Common Multiple of Numerators i.e. LCM of 19,12,552 is 10488.

GCF of Denominators means GCF of 240,758,499 as per the given fractions.

GCF of 240,758,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,12,552

LCM of Fractions 19/240,12/758,552/499 is 10488

2 19, 12, 552
2 19, 6, 276
3 19, 3, 138
19, 1, 46

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 46 = 10488

Least Common Multiple of 19,12,552 with GCF Formula

Least Common Multiple of 19,12,552 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 19,12,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,12,552) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(19,12,552) x common factors =1 x 12 = 12

LCM(19,12,552) = ( 19 × 12 × 552 ) / 12

LCM(19,12,552) = 125856 / 12

LCM(19,12,552) = 10488


Lets's calculate GCF of 240,758,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10488/1

Therefore the LCM of Fractions 19/240,12/758,552/499 is 10488

Greatest Common Factor of 240,758,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,758,499 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 240,758,499 . The biggest common factor number is the GCF number.
So the greatest common factor 240,758,499 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 19/240, 12/758, 552/499

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 19/240, 12/758, 552/499?

Answer: LCM of Numerators as per given numbers 19/240, 12/758, 552/499 is

LCM of Numerators i.e. for 19,12,552 is 10488

GCF of denominators i.e. for 240,758,499 is 1.

Thus, LCM of Fractions is 10488.Finally, LCM of Fractions for 19/240, 12/758, 552/499 is 10488.