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LCM of 524, 970, 482, 801, 778

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


Find the LCM of 524, 970, 482, 801, 778 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 524, 970, 482, 801, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,970,482,801,778

Given numbers are 524,970,482,801,778

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

The LCM of 524,970,482,801,778 is 19084122058860.

Find LCM of 524,970,482,801,778 with Prime Factorization


2 524, 970, 482, 801, 778
262, 485, 241, 801, 389

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

2 x 262 x 485 x 241 x 801 x 389 = 19084122058860

Therefore, the lowest common multiple of 524,970,482,801,778 is 19084122058860.

LCM Formula to Find Lowest Common Multiple of 524,970,482,801,778

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.

524 x 970 x 482 x 801 x 778 = 152672976470880

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.

524 : 1, 2, 4, 131, 262, 524

970 : 1, 2, 5, 10, 97, 194, 485, 970

482 : 1, 2, 241, 482

801 : 1, 3, 9, 89, 267, 801

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,970,482,801,778, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

970:2x 5x 97

482:2x 241

801:3x 3x 89

778:2x 389

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 = 152672976470880/(1x8)

LCM = 152672976470880/8

LCM = 19084122058860

Thus, we can understand that the LCM of 524,970,482,801,778 is 19084122058860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 970, 482, 801, 778

1. What is the LCM of 524, 970, 482, 801, 778?

Answer: LCM of 524, 970, 482, 801, 778 is 19084122058860.

2. How to calculate the LCM of 524, 970, 482, 801, 778?

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 524, 970, 482, 801, 778.

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}.