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LCM of 849, 804, 506, 464

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


Find the LCM of 849, 804, 506, 464 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 849, 804, 506, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,804,506,464

Given numbers are 849,804,506,464

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

The LCM of 849,804,506,464 is 6677609136.

Find LCM of 849,804,506,464 with Prime Factorization


2 849, 804, 506, 464
2 849, 402, 253, 232
3 849, 201, 253, 116
283, 67, 253, 116

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

2 x 2 x 3 x 283 x 67 x 253 x 116 = 6677609136

Therefore, the lowest common multiple of 849,804,506,464 is 6677609136.

LCM Formula to Find Lowest Common Multiple of 849,804,506,464

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.

849 x 804 x 506 x 464 = 160262619264

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.

849 : 1, 3, 283, 849

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,804,506,464, is 1.

Now, the common factors can be found like this.

849:3x 283

804:2x 2x 3x 67

506:2x 11x 23

464:2x 2x 2x 2x 29

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 160262619264/(1x24)

LCM = 160262619264/24

LCM = 6677609136

Thus, we can understand that the LCM of 849,804,506,464 is 6677609136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 804, 506, 464

1. What is the LCM of 849, 804, 506, 464?

Answer: LCM of 849, 804, 506, 464 is 6677609136.

2. How to calculate the LCM of 849, 804, 506, 464?

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 849, 804, 506, 464.

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}.