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LCM of 526, 806, 478, 974, 920

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


Find the LCM of 526, 806, 478, 974, 920 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 526, 806, 478, 974, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,806,478,974,920

Given numbers are 526,806,478,974,920

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

The LCM of 526,806,478,974,920 is 11349467462840.

Find LCM of 526,806,478,974,920 with Prime Factorization


2 526, 806, 478, 974, 920
263, 403, 239, 487, 460

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

2 x 263 x 403 x 239 x 487 x 460 = 11349467462840

Therefore, the lowest common multiple of 526,806,478,974,920 is 11349467462840.

LCM Formula to Find Lowest Common Multiple of 526,806,478,974,920

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.

526 x 806 x 478 x 974 x 920 = 181591479405440

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.

526 : 1, 2, 263, 526

806 : 1, 2, 13, 26, 31, 62, 403, 806

478 : 1, 2, 239, 478

974 : 1, 2, 487, 974

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,806,478,974,920, is 2.

Now, the common factors can be found like this.

526:2x 263

806:2x 13x 31

478:2x 239

974:2x 487

920:2x 2x 2x 5x 23

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 = 181591479405440/(2x8)

LCM = 181591479405440/16

LCM = 11349467462840

Thus, we can understand that the LCM of 526,806,478,974,920 is 11349467462840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 526, 806, 478, 974, 920

1. What is the LCM of 526, 806, 478, 974, 920?

Answer: LCM of 526, 806, 478, 974, 920 is 11349467462840.

2. How to calculate the LCM of 526, 806, 478, 974, 920?

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 526, 806, 478, 974, 920.

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}.