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LCM of 807, 329, 804, 786

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


Find the LCM of 807, 329, 804, 786 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 807, 329, 804, 786. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,329,804,786

Given numbers are 807,329,804,786

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

The LCM of 807,329,804,786 is 9321279324.

Find LCM of 807,329,804,786 with Prime Factorization


2 807, 329, 804, 786
3 807, 329, 402, 393
269, 329, 134, 131

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

2 x 3 x 269 x 329 x 134 x 131 = 9321279324

Therefore, the lowest common multiple of 807,329,804,786 is 9321279324.

LCM Formula to Find Lowest Common Multiple of 807,329,804,786

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.

807 x 329 x 804 x 786 = 167783027832

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.

807 : 1, 3, 269, 807

329 : 1, 7, 47, 329

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

786 : 1, 2, 3, 6, 131, 262, 393, 786

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,329,804,786, is 1.

Now, the common factors can be found like this.

807:3x 269

329:7x 47

804:2x 2x 3x 67

786:2x 3x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 167783027832/(1x18)

LCM = 167783027832/18

LCM = 9321279324

Thus, we can understand that the LCM of 807,329,804,786 is 9321279324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 329, 804, 786

1. What is the LCM of 807, 329, 804, 786?

Answer: LCM of 807, 329, 804, 786 is 9321279324.

2. How to calculate the LCM of 807, 329, 804, 786?

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 807, 329, 804, 786.

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}.