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LCM of 838, 462, 665, 764

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


Find the LCM of 838, 462, 665, 764 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 838, 462, 665, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,462,665,764

Given numbers are 838,462,665,764

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

The LCM of 838,462,665,764 is 7024945620.

Find LCM of 838,462,665,764 with Prime Factorization


2 838, 462, 665, 764
7 419, 231, 665, 382
419, 33, 95, 382

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

2 x 7 x 419 x 33 x 95 x 382 = 7024945620

Therefore, the lowest common multiple of 838,462,665,764 is 7024945620.

LCM Formula to Find Lowest Common Multiple of 838,462,665,764

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.

838 x 462 x 665 x 764 = 196698477360

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.

838 : 1, 2, 419, 838

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

665 : 1, 5, 7, 19, 35, 95, 133, 665

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,462,665,764, is 1.

Now, the common factors can be found like this.

838:2x 419

462:2x 3x 7x 11

665:5x 7x 19

764:2x 2x 191

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 7 = 28

Therefore, the value for common factors is 28.

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 = 196698477360/(1x28)

LCM = 196698477360/28

LCM = 7024945620

Thus, we can understand that the LCM of 838,462,665,764 is 7024945620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 462, 665, 764

1. What is the LCM of 838, 462, 665, 764?

Answer: LCM of 838, 462, 665, 764 is 7024945620.

2. How to calculate the LCM of 838, 462, 665, 764?

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 838, 462, 665, 764.

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}.