Least Common Multiple of 86/638, 744/533, 457/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/638, 744/533, 457/697 quickly i.e. 14620344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/638, 744/533, 457/697 is 14620344.

LCM(86/638, 744/533, 457/697) = 14620344

LCM of 86/638, 744/533, 457/697

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 86/638,744/533,457/697

Given numbers are 86/638,744/533,457/697

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 86,744,457

Least Common Multiple of Numerators i.e. LCM of 86,744,457 is 14620344.

GCF of Denominators means GCF of 638,533,697 as per the given fractions.

GCF of 638,533,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,744,457

LCM of Fractions 86/638,744/533,457/697 is 14620344

2 86, 744, 457
43, 372, 457

∴ So the LCM of the given numbers is 2 x 43 x 372 x 457 = 14620344

Least Common Multiple of 86,744,457 with GCF Formula

Least Common Multiple of 86,744,457 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 86,744,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,744,457) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,744,457) x common factors =1 x 2 = 2

LCM(86,744,457) = ( 86 × 744 × 457 ) / 2

LCM(86,744,457) = 29240688 / 2

LCM(86,744,457) = 14620344


Lets's calculate GCF of 638,533,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14620344/1

Therefore the LCM of Fractions 86/638,744/533,457/697 is 14620344

Greatest Common Factor of 638,533,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,533,697 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 638,533,697 . The biggest common factor number is the GCF number.
So the greatest common factor 638,533,697 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 86/638, 744/533, 457/697

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 86/638, 744/533, 457/697?

Answer: LCM of Numerators as per given numbers 86/638, 744/533, 457/697 is

LCM of Numerators i.e. for 86,744,457 is 14620344

GCF of denominators i.e. for 638,533,697 is 1.

Thus, LCM of Fractions is 14620344.Finally, LCM of Fractions for 86/638, 744/533, 457/697 is 14620344.