Least Common Multiple of 594/35, 390/99, 704/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/35, 390/99, 704/789 quickly i.e. 1235520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/35, 390/99, 704/789 is 1235520.

LCM(594/35, 390/99, 704/789) = 1235520

LCM of 594/35, 390/99, 704/789

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 594/35,390/99,704/789

Given numbers are 594/35,390/99,704/789

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 594,390,704

Least Common Multiple of Numerators i.e. LCM of 594,390,704 is 1235520.

GCF of Denominators means GCF of 35,99,789 as per the given fractions.

GCF of 35,99,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,390,704

LCM of Fractions 594/35,390/99,704/789 is 1235520

2 594, 390, 704
3 297, 195, 352
11 99, 65, 352
9, 65, 32

∴ So the LCM of the given numbers is 2 x 3 x 11 x 9 x 65 x 32 = 1235520

Least Common Multiple of 594,390,704 with GCF Formula

Least Common Multiple of 594,390,704 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 594,390,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,390,704) = 2

common factors(in case of two or more numbers have common factors) = 66

GCF(594,390,704) x common factors =2 x 66 = 132

LCM(594,390,704) = ( 594 × 390 × 704 ) / 132

LCM(594,390,704) = 163088640 / 132

LCM(594,390,704) = 1235520


Lets's calculate GCF of 35,99,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1235520/1

Therefore the LCM of Fractions 594/35,390/99,704/789 is 1235520

Greatest Common Factor of 35,99,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,99,789 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 35,99,789 . The biggest common factor number is the GCF number.
So the greatest common factor 35,99,789 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 594/35, 390/99, 704/789

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 594/35, 390/99, 704/789?

Answer: LCM of Numerators as per given numbers 594/35, 390/99, 704/789 is

LCM of Numerators i.e. for 594,390,704 is 1235520

GCF of denominators i.e. for 35,99,789 is 1.

Thus, LCM of Fractions is 1235520.Finally, LCM of Fractions for 594/35, 390/99, 704/789 is 1235520.