Given numbers are 394,509,762

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

The LCM of 394,509,762 is 76408026.

Find LCM of 394,509,762 with Prime Factorization

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

2 x 197 x 509 x 381 = 76408026

Therefore, the lowest common multiple of 394,509,762 is 76408026.

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.

394 x 509 x 762 = 152816052

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.

394 : 1, 2, 197, 394

509 : 1, 509

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,509,762, is 1.

Now, the common factors can be found like this.

394:2x 197

509:509

762:2x 3x 127

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 = 152816052/(1x2)

LCM = 152816052/2

LCM = 76408026

Thus, we can understand that the LCM of 394,509,762 is 76408026.

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

• LCM of 821, 146, 942
• LCM of 387, 581, 834
• LCM of 138, 332, 703
• LCM of 103, 348, 609
• LCM of 305, 917, 109

1. What is the LCM of 394, 509, 762?

Answer: LCM of 394, 509, 762 is 76408026.

2. How to calculate the LCM of 394, 509, 762?

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 394, 509, 762.

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}.