Given numbers are 920,138,466,319

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

The LCM of 920,138,466,319 is 205142520.

Find LCM of 920,138,466,319 with Prime Factorization

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

2 x 23 x 20 x 3 x 233 x 319 = 205142520

Therefore, the lowest common multiple of 920,138,466,319 is 205142520.

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 138 x 466 x 319 = 18873111840

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

466 : 1, 2, 233, 466

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,138,466,319, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

138:2x 3x 23

466:2x 233

319:11x 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 23 = 92

Therefore, the value for common factors is 92.

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 = 18873111840/(1x92)

LCM = 18873111840/92

LCM = 205142520

Thus, we can understand that the LCM of 920,138,466,319 is 205142520.

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

• LCM of 149, 404, 830, 216
• LCM of 678, 813, 220, 345
• LCM of 255, 769, 234, 950
• LCM of 222, 977, 531, 917
• LCM of 582, 631, 444, 812

1. What is the LCM of 920, 138, 466, 319?

Answer: LCM of 920, 138, 466, 319 is 205142520.

2. How to calculate the LCM of 920, 138, 466, 319?

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, 138, 466, 319.

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}.