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LCM of 904, 714, 315, 503, 444

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


Find the LCM of 904, 714, 315, 503, 444 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 904, 714, 315, 503, 444. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 904,714,315,503,444

Given numbers are 904,714,315,503,444

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

The LCM of 904,714,315,503,444 is 90094362120.

Find LCM of 904,714,315,503,444 with Prime Factorization


2 904, 714, 315, 503, 444
2 452, 357, 315, 503, 222
3 226, 357, 315, 503, 111
7 226, 119, 105, 503, 37
226, 17, 15, 503, 37

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

2 x 2 x 3 x 7 x 226 x 17 x 15 x 503 x 37 = 90094362120

Therefore, the lowest common multiple of 904,714,315,503,444 is 90094362120.

LCM Formula to Find Lowest Common Multiple of 904,714,315,503,444

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.

904 x 714 x 315 x 503 x 444 = 45407558508480

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

503 : 1, 503

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,714,315,503,444, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

714:2x 3x 7x 17

315:3x 3x 5x 7

503:503

444:2x 2x 3x 37

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

2x 2x 2x 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 45407558508480/(1x504)

LCM = 45407558508480/504

LCM = 90094362120

Thus, we can understand that the LCM of 904,714,315,503,444 is 90094362120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 904, 714, 315, 503, 444

1. What is the LCM of 904, 714, 315, 503, 444?

Answer: LCM of 904, 714, 315, 503, 444 is 90094362120.

2. How to calculate the LCM of 904, 714, 315, 503, 444?

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 904, 714, 315, 503, 444.

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}.