Least Common Multiple of 717/492, 714/984, 805/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/492, 714/984, 805/832 quickly i.e. 19624290/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/492, 714/984, 805/832 is 19624290/4.

LCM(717/492, 714/984, 805/832) = 19624290/4

LCM of 717/492, 714/984, 805/832

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 717/492,714/984,805/832

Given numbers are 717/492,714/984,805/832

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 717,714,805

Least Common Multiple of Numerators i.e. LCM of 717,714,805 is 19624290.

GCF of Denominators means GCF of 492,984,832 as per the given fractions.

GCF of 492,984,832 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,714,805

LCM of Fractions 717/492,714/984,805/832 is 19624290/4

3 717, 714, 805
7 239, 238, 805
239, 34, 115

∴ So the LCM of the given numbers is 3 x 7 x 239 x 34 x 115 = 19624290

Least Common Multiple of 717,714,805 with GCF Formula

Least Common Multiple of 717,714,805 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 717,714,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,714,805) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(717,714,805) x common factors =1 x 21 = 21

LCM(717,714,805) = ( 717 × 714 × 805 ) / 21

LCM(717,714,805) = 412110090 / 21

LCM(717,714,805) = 19624290


Lets's calculate GCF of 492,984,832

2 492, 984, 832
2 246, 492, 416
123, 246, 208

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19624290/4

Therefore the LCM of Fractions 717/492,714/984,805/832 is 19624290/4

Greatest Common Factor of 492,984,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,984,832 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 492,984,832 . The biggest common factor number is the GCF number.
So the greatest common factor 492,984,832 is 4.


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 717/492, 714/984, 805/832

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 717/492, 714/984, 805/832?

Answer: LCM of Numerators as per given numbers 717/492, 714/984, 805/832 is

LCM of Numerators i.e. for 717,714,805 is 19624290

GCF of denominators i.e. for 492,984,832 is 4.

Thus, LCM of Fractions is 19624290/4.Finally, LCM of Fractions for 717/492, 714/984, 805/832 is 19624290/4.