Least Common Multiple of 713/86, 408/31, 465/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 713/86, 408/31, 465/190 quickly i.e. 1454520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/86, 408/31, 465/190 is 1454520.

LCM(713/86, 408/31, 465/190) = 1454520

LCM of 713/86, 408/31, 465/190

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 713/86,408/31,465/190

Given numbers are 713/86,408/31,465/190

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 713,408,465

Least Common Multiple of Numerators i.e. LCM of 713,408,465 is 1454520.

GCF of Denominators means GCF of 86,31,190 as per the given fractions.

GCF of 86,31,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,408,465

LCM of Fractions 713/86,408/31,465/190 is 1454520

3 713, 408, 465
31 713, 136, 155
23, 136, 5

∴ So the LCM of the given numbers is 3 x 31 x 23 x 136 x 5 = 1454520

Least Common Multiple of 713,408,465 with GCF Formula

Least Common Multiple of 713,408,465 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 713,408,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,408,465) = 1

common factors(in case of two or more numbers have common factors) = 93

GCF(713,408,465) x common factors =1 x 93 = 93

LCM(713,408,465) = ( 713 × 408 × 465 ) / 93

LCM(713,408,465) = 135270360 / 93

LCM(713,408,465) = 1454520


Lets's calculate GCF of 86,31,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1454520/1

Therefore the LCM of Fractions 713/86,408/31,465/190 is 1454520

Greatest Common Factor of 86,31,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,31,190 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 86,31,190 . The biggest common factor number is the GCF number.
So the greatest common factor 86,31,190 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 713/86, 408/31, 465/190

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 713/86, 408/31, 465/190?

Answer: LCM of Numerators as per given numbers 713/86, 408/31, 465/190 is

LCM of Numerators i.e. for 713,408,465 is 1454520

GCF of denominators i.e. for 86,31,190 is 1.

Thus, LCM of Fractions is 1454520.Finally, LCM of Fractions for 713/86, 408/31, 465/190 is 1454520.