Least Common Multiple of 19/120, 167/707, 831/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/120, 167/707, 831/530 quickly i.e. 2636763 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/120, 167/707, 831/530 is 2636763.

LCM(19/120, 167/707, 831/530) = 2636763

LCM of 19/120, 167/707, 831/530

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 19/120,167/707,831/530

Given numbers are 19/120,167/707,831/530

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 19,167,831

Least Common Multiple of Numerators i.e. LCM of 19,167,831 is 2636763.

GCF of Denominators means GCF of 120,707,530 as per the given fractions.

GCF of 120,707,530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,167,831

LCM of Fractions 19/120,167/707,831/530 is 2636763

Given numbers has no common factors except 1. So, there LCM is their product i.e 2636763

Least Common Multiple of 19,167,831 with GCF Formula

Least Common Multiple of 19,167,831 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 19,167,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,167,831) = 1

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

GCF(19,167,831) x common factors =1 x 1 = 1

LCM(19,167,831) = ( 19 × 167 × 831 ) / 1

LCM(19,167,831) = 2636763 / 1

LCM(19,167,831) = 2636763


Lets's calculate GCF of 120,707,530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2636763/1

Therefore the LCM of Fractions 19/120,167/707,831/530 is 2636763

Greatest Common Factor of 120,707,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,707,530 By Matching Biggest Common Factor Method

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

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 120,707,530 . The biggest common factor number is the GCF number.
So the greatest common factor 120,707,530 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 19/120, 167/707, 831/530

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 19/120, 167/707, 831/530?

Answer: LCM of Numerators as per given numbers 19/120, 167/707, 831/530 is

LCM of Numerators i.e. for 19,167,831 is 2636763

GCF of denominators i.e. for 120,707,530 is 1.

Thus, LCM of Fractions is 2636763.Finally, LCM of Fractions for 19/120, 167/707, 831/530 is 2636763.