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LCM of 601, 290, 220, 802

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


Find the LCM of 601, 290, 220, 802 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 601, 290, 220, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 601,290,220,802

Given numbers are 601,290,220,802

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

The LCM of 601,290,220,802 is 1537586380.

Find LCM of 601,290,220,802 with Prime Factorization


2 601, 290, 220, 802
5 601, 145, 110, 401
601, 29, 22, 401

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

2 x 5 x 601 x 29 x 22 x 401 = 1537586380

Therefore, the lowest common multiple of 601,290,220,802 is 1537586380.

LCM Formula to Find Lowest Common Multiple of 601,290,220,802

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.

601 x 290 x 220 x 802 = 30751727600

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.

601 : 1, 601

290 : 1, 2, 5, 10, 29, 58, 145, 290

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,290,220,802, is 1.

Now, the common factors can be found like this.

601:601

290:2x 5x 29

220:2x 2x 5x 11

802:2x 401

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 5 = 20

Therefore, the value for common factors is 20.

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 = 30751727600/(1x20)

LCM = 30751727600/20

LCM = 1537586380

Thus, we can understand that the LCM of 601,290,220,802 is 1537586380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 601, 290, 220, 802

1. What is the LCM of 601, 290, 220, 802?

Answer: LCM of 601, 290, 220, 802 is 1537586380.

2. How to calculate the LCM of 601, 290, 220, 802?

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 601, 290, 220, 802.

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}.