Least Common Multiple of 407/638, 697/922, 592/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/638, 697/922, 592/698 quickly i.e. 2269432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/638, 697/922, 592/698 is 2269432.

LCM(407/638, 697/922, 592/698) = 2269432

LCM of 407/638, 697/922, 592/698

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 407/638,697/922,592/698

Given numbers are 407/638,697/922,592/698

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 407,697,592

Least Common Multiple of Numerators i.e. LCM of 407,697,592 is 4538864.

GCF of Denominators means GCF of 638,922,698 as per the given fractions.

GCF of 638,922,698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,697,592

LCM of Fractions 407/638,697/922,592/698 is 2269432

37 407, 697, 592
11, 697, 16

∴ So the LCM of the given numbers is 37 x 11 x 697 x 16 = 4538864

Least Common Multiple of 407,697,592 with GCF Formula

Least Common Multiple of 407,697,592 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 407,697,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,697,592) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(407,697,592) x common factors =1 x 37 = 37

LCM(407,697,592) = ( 407 × 697 × 592 ) / 37

LCM(407,697,592) = 167937968 / 37

LCM(407,697,592) = 4538864


Lets's calculate GCF of 638,922,698

2 638, 922, 698
319, 461, 349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4538864/2

Therefore the LCM of Fractions 407/638,697/922,592/698 is 2269432

Greatest Common Factor of 638,922,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,922,698 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 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 638,922,698 . The biggest common factor number is the GCF number.
So the greatest common factor 638,922,698 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 407/638, 697/922, 592/698

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 407/638, 697/922, 592/698?

Answer: LCM of Numerators as per given numbers 407/638, 697/922, 592/698 is

LCM of Numerators i.e. for 407,697,592 is 4538864

GCF of denominators i.e. for 638,922,698 is 2.

Thus, LCM of Fractions is 2269432.Finally, LCM of Fractions for 407/638, 697/922, 592/698 is 2269432.