Given numbers are 920,438,509

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

The LCM of 920,438,509 is 102553320.

Find LCM of 920,438,509 with Prime Factorization

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

2 x 460 x 219 x 509 = 102553320

Therefore, the lowest common multiple of 920,438,509 is 102553320.

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.

920 x 438 x 509 = 205106640

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

438 : 1, 2, 3, 6, 73, 146, 219, 438

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,438,509, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

438:2x 3x 73

509:509

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 = 205106640/(1x2)

LCM = 205106640/2

LCM = 102553320

Thus, we can understand that the LCM of 920,438,509 is 102553320.

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

• LCM of 191, 610, 582
• LCM of 178, 926, 467
• LCM of 975, 505, 906
• LCM of 590, 903, 884
• LCM of 341, 721, 366

1. What is the LCM of 920, 438, 509?

Answer: LCM of 920, 438, 509 is 102553320.

2. How to calculate the LCM of 920, 438, 509?

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 920, 438, 509.

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}.