Least Common Multiple of 785/816, 120/870, 111/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/816, 120/870, 111/330 quickly i.e. 116180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/816, 120/870, 111/330 is 116180.

LCM(785/816, 120/870, 111/330) = 116180

LCM of 785/816, 120/870, 111/330

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 785/816,120/870,111/330

Given numbers are 785/816,120/870,111/330

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 785,120,111

Least Common Multiple of Numerators i.e. LCM of 785,120,111 is 697080.

GCF of Denominators means GCF of 816,870,330 as per the given fractions.

GCF of 816,870,330 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,120,111

LCM of Fractions 785/816,120/870,111/330 is 116180

3 785, 120, 111
5 785, 40, 37
157, 8, 37

∴ So the LCM of the given numbers is 3 x 5 x 157 x 8 x 37 = 697080

Least Common Multiple of 785,120,111 with GCF Formula

Least Common Multiple of 785,120,111 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 785,120,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,120,111) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(785,120,111) x common factors =1 x 15 = 15

LCM(785,120,111) = ( 785 × 120 × 111 ) / 15

LCM(785,120,111) = 10456200 / 15

LCM(785,120,111) = 697080


Lets's calculate GCF of 816,870,330

2 816, 870, 330
3 408, 435, 165
136, 145, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 697080/6

Therefore the LCM of Fractions 785/816,120/870,111/330 is 116180

Greatest Common Factor of 816,870,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,870,330 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 816,870,330 . The biggest common factor number is the GCF number.
So the greatest common factor 816,870,330 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 785/816, 120/870, 111/330

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 785/816, 120/870, 111/330?

Answer: LCM of Numerators as per given numbers 785/816, 120/870, 111/330 is

LCM of Numerators i.e. for 785,120,111 is 697080

GCF of denominators i.e. for 816,870,330 is 6.

Thus, LCM of Fractions is 116180.Finally, LCM of Fractions for 785/816, 120/870, 111/330 is 116180.