Least Common Multiple of 72/706, 992/792, 682/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/706, 992/792, 682/472 quickly i.e. 49104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/706, 992/792, 682/472 is 49104.

LCM(72/706, 992/792, 682/472) = 49104

LCM of 72/706, 992/792, 682/472

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 72/706,992/792,682/472

Given numbers are 72/706,992/792,682/472

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 72,992,682

Least Common Multiple of Numerators i.e. LCM of 72,992,682 is 98208.

GCF of Denominators means GCF of 706,792,472 as per the given fractions.

GCF of 706,792,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,992,682

LCM of Fractions 72/706,992/792,682/472 is 49104

2 72, 992, 682
2 36, 496, 341
2 18, 248, 341
31 9, 124, 341
9, 4, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 9 x 4 x 11 = 98208

Least Common Multiple of 72,992,682 with GCF Formula

Least Common Multiple of 72,992,682 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 72,992,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,992,682) = 2

common factors(in case of two or more numbers have common factors) = 248

GCF(72,992,682) x common factors =2 x 248 = 496

LCM(72,992,682) = ( 72 × 992 × 682 ) / 496

LCM(72,992,682) = 48711168 / 496

LCM(72,992,682) = 98208


Lets's calculate GCF of 706,792,472

2 706, 792, 472
353, 396, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98208/2

Therefore the LCM of Fractions 72/706,992/792,682/472 is 49104

Greatest Common Factor of 706,792,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,792,472 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 706,792,472 . The biggest common factor number is the GCF number.
So the greatest common factor 706,792,472 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 72/706, 992/792, 682/472

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 72/706, 992/792, 682/472?

Answer: LCM of Numerators as per given numbers 72/706, 992/792, 682/472 is

LCM of Numerators i.e. for 72,992,682 is 98208

GCF of denominators i.e. for 706,792,472 is 2.

Thus, LCM of Fractions is 49104.Finally, LCM of Fractions for 72/706, 992/792, 682/472 is 49104.