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LCM of 170, 612, 310, 802

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


Find the LCM of 170, 612, 310, 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 170, 612, 310, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 170,612,310,802

Given numbers are 170,612,310,802

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

The LCM of 170,612,310,802 is 38038860.

Find LCM of 170,612,310,802 with Prime Factorization


2 170, 612, 310, 802
5 85, 306, 155, 401
17 17, 306, 31, 401
1, 18, 31, 401

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

2 x 5 x 17 x 1 x 18 x 31 x 401 = 38038860

Therefore, the lowest common multiple of 170,612,310,802 is 38038860.

LCM Formula to Find Lowest Common Multiple of 170,612,310,802

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.

170 x 612 x 310 x 802 = 25866424800

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.

170 : 1, 2, 5, 10, 17, 34, 85, 170

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

310 : 1, 2, 5, 10, 31, 62, 155, 310

802 : 1, 2, 401, 802

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,612,310,802, is 2.

Now, the common factors can be found like this.

170:2x 5x 17

612:2x 2x 3x 3x 17

310:2x 5x 31

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 5x 17 = 340

Therefore, the value for common factors is 340.

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 = 25866424800/(2x340)

LCM = 25866424800/680

LCM = 38038860

Thus, we can understand that the LCM of 170,612,310,802 is 38038860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 170, 612, 310, 802

1. What is the LCM of 170, 612, 310, 802?

Answer: LCM of 170, 612, 310, 802 is 38038860.

2. How to calculate the LCM of 170, 612, 310, 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 170, 612, 310, 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}.