Given numbers are 766,38,413

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

The LCM of 766,38,413 is 6010802.

Find LCM of 766,38,413 with Prime Factorization

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

2 x 383 x 19 x 413 = 6010802

Therefore, the lowest common multiple of 766,38,413 is 6010802.

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.

766 x 38 x 413 = 12021604

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.

766 : 1, 2, 383, 766

38 : 1, 2, 19, 38

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,38,413, is 1.

Now, the common factors can be found like this.

766:2x 383

38:2x 19

413:7x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 12021604/(1x2)

LCM = 12021604/2

LCM = 6010802

Thus, we can understand that the LCM of 766,38,413 is 6010802.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 168, 68, 558
• LCM of 370, 37, 426
• LCM of 464, 38, 318
• LCM of 924, 19, 500
• LCM of 545, 78, 118

1. What is the LCM of 766, 38, 413?

Answer: LCM of 766, 38, 413 is 6010802.

2. How to calculate the LCM of 766, 38, 413?

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 766, 38, 413.

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}.