Least Common Multiple of 78/699, 30/105, 858/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/699, 30/105, 858/522 quickly i.e. 1430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/699, 30/105, 858/522 is 1430.

LCM(78/699, 30/105, 858/522) = 1430

LCM of 78/699, 30/105, 858/522

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 78/699,30/105,858/522

Given numbers are 78/699,30/105,858/522

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 78,30,858

Least Common Multiple of Numerators i.e. LCM of 78,30,858 is 4290.

GCF of Denominators means GCF of 699,105,522 as per the given fractions.

GCF of 699,105,522 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,30,858

LCM of Fractions 78/699,30/105,858/522 is 1430

2 78, 30, 858
3 39, 15, 429
13 13, 5, 143
1, 5, 11

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 5 x 11 = 4290

Least Common Multiple of 78,30,858 with GCF Formula

Least Common Multiple of 78,30,858 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 78,30,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,30,858) = 6

common factors(in case of two or more numbers have common factors) = 78

GCF(78,30,858) x common factors =6 x 78 = 468

LCM(78,30,858) = ( 78 × 30 × 858 ) / 468

LCM(78,30,858) = 2007720 / 468

LCM(78,30,858) = 4290


Lets's calculate GCF of 699,105,522

3 699, 105, 522
233, 35, 174

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4290/3

Therefore the LCM of Fractions 78/699,30/105,858/522 is 1430

Greatest Common Factor of 699,105,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,105,522 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 699,105,522 . The biggest common factor number is the GCF number.
So the greatest common factor 699,105,522 is 3.


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 78/699, 30/105, 858/522

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 78/699, 30/105, 858/522?

Answer: LCM of Numerators as per given numbers 78/699, 30/105, 858/522 is

LCM of Numerators i.e. for 78,30,858 is 4290

GCF of denominators i.e. for 699,105,522 is 3.

Thus, LCM of Fractions is 1430.Finally, LCM of Fractions for 78/699, 30/105, 858/522 is 1430.