Least Common Multiple of 31/104, 770/786, 589/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/104, 770/786, 589/380 quickly i.e. 226765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/104, 770/786, 589/380 is 226765.

LCM(31/104, 770/786, 589/380) = 226765

LCM of 31/104, 770/786, 589/380

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 31/104,770/786,589/380

Given numbers are 31/104,770/786,589/380

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 31,770,589

Least Common Multiple of Numerators i.e. LCM of 31,770,589 is 453530.

GCF of Denominators means GCF of 104,786,380 as per the given fractions.

GCF of 104,786,380 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,770,589

LCM of Fractions 31/104,770/786,589/380 is 226765

31 31, 770, 589
1, 770, 19

∴ So the LCM of the given numbers is 31 x 1 x 770 x 19 = 453530

Least Common Multiple of 31,770,589 with GCF Formula

Least Common Multiple of 31,770,589 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 31,770,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,770,589) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,770,589) x common factors =1 x 31 = 31

LCM(31,770,589) = ( 31 × 770 × 589 ) / 31

LCM(31,770,589) = 14059430 / 31

LCM(31,770,589) = 453530


Lets's calculate GCF of 104,786,380

2 104, 786, 380
52, 393, 190

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453530/2

Therefore the LCM of Fractions 31/104,770/786,589/380 is 226765

Greatest Common Factor of 104,786,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,786,380 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 104,786,380 . The biggest common factor number is the GCF number.
So the greatest common factor 104,786,380 is 2.


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 31/104, 770/786, 589/380

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 31/104, 770/786, 589/380?

Answer: LCM of Numerators as per given numbers 31/104, 770/786, 589/380 is

LCM of Numerators i.e. for 31,770,589 is 453530

GCF of denominators i.e. for 104,786,380 is 2.

Thus, LCM of Fractions is 226765.Finally, LCM of Fractions for 31/104, 770/786, 589/380 is 226765.