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LCM of 494, 303, 727, 704

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 494, 303, 727, 704 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 494, 303, 727, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,303,727,704

Given numbers are 494,303,727,704

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 494,303,727,704 is 38304222528.

Find LCM of 494,303,727,704 with Prime Factorization


2 494, 303, 727, 704
247, 303, 727, 352

Multiply the prime numbers at the bottom and the left side.

2 x 247 x 303 x 727 x 352 = 38304222528

Therefore, the lowest common multiple of 494,303,727,704 is 38304222528.

LCM Formula to Find Lowest Common Multiple of 494,303,727,704

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

494 x 303 x 727 x 704 = 76608445056

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

494 : 1, 2, 13, 19, 26, 38, 247, 494

303 : 1, 3, 101, 303

727 : 1, 727

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,303,727,704, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

303:3x 101

727:727

704:2x 2x 2x 2x 2x 2x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 76608445056/(1x2)

LCM = 76608445056/2

LCM = 38304222528

Thus, we can understand that the LCM of 494,303,727,704 is 38304222528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 303, 727, 704

1. What is the LCM of 494, 303, 727, 704?

Answer: LCM of 494, 303, 727, 704 is 38304222528.

2. How to calculate the LCM of 494, 303, 727, 704?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 494, 303, 727, 704.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.