Least Common Multiple of 15/840, 19/966, 939/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/840, 19/966, 939/930 quickly i.e. 89205/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/840, 19/966, 939/930 is 89205/6.

LCM(15/840, 19/966, 939/930) = 89205/6

LCM of 15/840, 19/966, 939/930

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 15/840,19/966,939/930

Given numbers are 15/840,19/966,939/930

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 15,19,939

Least Common Multiple of Numerators i.e. LCM of 15,19,939 is 89205.

GCF of Denominators means GCF of 840,966,930 as per the given fractions.

GCF of 840,966,930 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,19,939

LCM of Fractions 15/840,19/966,939/930 is 89205/6

3 15, 19, 939
5, 19, 313

∴ So the LCM of the given numbers is 3 x 5 x 19 x 313 = 89205

Least Common Multiple of 15,19,939 with GCF Formula

Least Common Multiple of 15,19,939 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 15,19,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,19,939) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,19,939) x common factors =1 x 3 = 3

LCM(15,19,939) = ( 15 × 19 × 939 ) / 3

LCM(15,19,939) = 267615 / 3

LCM(15,19,939) = 89205


Lets's calculate GCF of 840,966,930

2 840, 966, 930
3 420, 483, 465
140, 161, 155

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89205/6

Therefore the LCM of Fractions 15/840,19/966,939/930 is 89205/6

Greatest Common Factor of 840,966,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,966,930 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 840,966,930 . The biggest common factor number is the GCF number.
So the greatest common factor 840,966,930 is 6.


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 15/840, 19/966, 939/930

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 15/840, 19/966, 939/930?

Answer: LCM of Numerators as per given numbers 15/840, 19/966, 939/930 is

LCM of Numerators i.e. for 15,19,939 is 89205

GCF of denominators i.e. for 840,966,930 is 6.

Thus, LCM of Fractions is 89205/6.Finally, LCM of Fractions for 15/840, 19/966, 939/930 is 89205/6.