Least Common Multiple of 47/828, 774/708, 536/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/828, 774/708, 536/968 quickly i.e. 2437326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/828, 774/708, 536/968 is 2437326.

LCM(47/828, 774/708, 536/968) = 2437326

LCM of 47/828, 774/708, 536/968

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 47/828,774/708,536/968

Given numbers are 47/828,774/708,536/968

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 47,774,536

Least Common Multiple of Numerators i.e. LCM of 47,774,536 is 9749304.

GCF of Denominators means GCF of 828,708,968 as per the given fractions.

GCF of 828,708,968 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,774,536

LCM of Fractions 47/828,774/708,536/968 is 2437326

2 47, 774, 536
47, 387, 268

∴ So the LCM of the given numbers is 2 x 47 x 387 x 268 = 9749304

Least Common Multiple of 47,774,536 with GCF Formula

Least Common Multiple of 47,774,536 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 47,774,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,774,536) = 1

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

GCF(47,774,536) x common factors =1 x 2 = 2

LCM(47,774,536) = ( 47 × 774 × 536 ) / 2

LCM(47,774,536) = 19498608 / 2

LCM(47,774,536) = 9749304


Lets's calculate GCF of 828,708,968

2 828, 708, 968
2 414, 354, 484
207, 177, 242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9749304/4

Therefore the LCM of Fractions 47/828,774/708,536/968 is 2437326

Greatest Common Factor of 828,708,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,708,968 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 828,708,968 . The biggest common factor number is the GCF number.
So the greatest common factor 828,708,968 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 47/828, 774/708, 536/968

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 47/828, 774/708, 536/968?

Answer: LCM of Numerators as per given numbers 47/828, 774/708, 536/968 is

LCM of Numerators i.e. for 47,774,536 is 9749304

GCF of denominators i.e. for 828,708,968 is 4.

Thus, LCM of Fractions is 2437326.Finally, LCM of Fractions for 47/828, 774/708, 536/968 is 2437326.