Least Common Multiple of 71/692, 996/360, 466/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/692, 996/360, 466/116 quickly i.e. 4119207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/692, 996/360, 466/116 is 4119207.

LCM(71/692, 996/360, 466/116) = 4119207

LCM of 71/692, 996/360, 466/116

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 71/692,996/360,466/116

Given numbers are 71/692,996/360,466/116

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 71,996,466

Least Common Multiple of Numerators i.e. LCM of 71,996,466 is 16476828.

GCF of Denominators means GCF of 692,360,116 as per the given fractions.

GCF of 692,360,116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,996,466

LCM of Fractions 71/692,996/360,466/116 is 4119207

2 71, 996, 466
71, 498, 233

∴ So the LCM of the given numbers is 2 x 71 x 498 x 233 = 16476828

Least Common Multiple of 71,996,466 with GCF Formula

Least Common Multiple of 71,996,466 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 71,996,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,996,466) = 1

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

GCF(71,996,466) x common factors =1 x 2 = 2

LCM(71,996,466) = ( 71 × 996 × 466 ) / 2

LCM(71,996,466) = 32953656 / 2

LCM(71,996,466) = 16476828


Lets's calculate GCF of 692,360,116

2 692, 360, 116
2 346, 180, 58
173, 90, 29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16476828/4

Therefore the LCM of Fractions 71/692,996/360,466/116 is 4119207

Greatest Common Factor of 692,360,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,360,116 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 692,360,116 . The biggest common factor number is the GCF number.
So the greatest common factor 692,360,116 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 71/692, 996/360, 466/116

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 71/692, 996/360, 466/116?

Answer: LCM of Numerators as per given numbers 71/692, 996/360, 466/116 is

LCM of Numerators i.e. for 71,996,466 is 16476828

GCF of denominators i.e. for 692,360,116 is 4.

Thus, LCM of Fractions is 4119207.Finally, LCM of Fractions for 71/692, 996/360, 466/116 is 4119207.