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LCM of 730, 503, 494, 894, 328

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


Find the LCM of 730, 503, 494, 894, 328 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 730, 503, 494, 894, 328. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,503,494,894,328

Given numbers are 730,503,494,894,328

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

The LCM of 730,503,494,894,328 is 6648737236440.

Find LCM of 730,503,494,894,328 with Prime Factorization


2 730, 503, 494, 894, 328
365, 503, 247, 447, 164

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

2 x 365 x 503 x 247 x 447 x 164 = 6648737236440

Therefore, the lowest common multiple of 730,503,494,894,328 is 6648737236440.

LCM Formula to Find Lowest Common Multiple of 730,503,494,894,328

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.

730 x 503 x 494 x 894 x 328 = 53189897891520

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

503 : 1, 503

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,503,494,894,328, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

503:503

494:2x 13x 19

894:2x 3x 149

328:2x 2x 2x 41

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 2 = 8

Therefore, the value for common factors is 8.

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 = 53189897891520/(1x8)

LCM = 53189897891520/8

LCM = 6648737236440

Thus, we can understand that the LCM of 730,503,494,894,328 is 6648737236440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 503, 494, 894, 328

1. What is the LCM of 730, 503, 494, 894, 328?

Answer: LCM of 730, 503, 494, 894, 328 is 6648737236440.

2. How to calculate the LCM of 730, 503, 494, 894, 328?

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 730, 503, 494, 894, 328.

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}.