Least Common Multiple of 19/813, 35/587, 688/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/813, 35/587, 688/120 quickly i.e. 457520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/813, 35/587, 688/120 is 457520.

LCM(19/813, 35/587, 688/120) = 457520

LCM of 19/813, 35/587, 688/120

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 19/813,35/587,688/120

Given numbers are 19/813,35/587,688/120

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 19,35,688

Least Common Multiple of Numerators i.e. LCM of 19,35,688 is 457520.

GCF of Denominators means GCF of 813,587,120 as per the given fractions.

GCF of 813,587,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,35,688

LCM of Fractions 19/813,35/587,688/120 is 457520

Given numbers has no common factors except 1. So, there LCM is their product i.e 457520

Least Common Multiple of 19,35,688 with GCF Formula

Least Common Multiple of 19,35,688 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 19,35,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,35,688) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(19,35,688) x common factors =1 x 1 = 1

LCM(19,35,688) = ( 19 × 35 × 688 ) / 1

LCM(19,35,688) = 457520 / 1

LCM(19,35,688) = 457520


Lets's calculate GCF of 813,587,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457520/1

Therefore the LCM of Fractions 19/813,35/587,688/120 is 457520

Greatest Common Factor of 813,587,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,587,120 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

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

Greatest Common Factor

We found the factors 813,587,120 . The biggest common factor number is the GCF number.
So the greatest common factor 813,587,120 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 19/813, 35/587, 688/120

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 19/813, 35/587, 688/120?

Answer: LCM of Numerators as per given numbers 19/813, 35/587, 688/120 is

LCM of Numerators i.e. for 19,35,688 is 457520

GCF of denominators i.e. for 813,587,120 is 1.

Thus, LCM of Fractions is 457520.Finally, LCM of Fractions for 19/813, 35/587, 688/120 is 457520.