Given numbers are 958,728,360,460

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

The LCM of 958,728,360,460 is 360916920.

Find LCM of 958,728,360,460 with Prime Factorization

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

2 x 2 x 2 x 5 x 479 x 91 x 9 x 23 = 360916920

Therefore, the lowest common multiple of 958,728,360,460 is 360916920.

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.

958 x 728 x 360 x 460 = 115493414400

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.

958 : 1, 2, 479, 958

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,728,360,460, is 2.

Now, the common factors can be found like this.

958:2x 479

728:2x 2x 2x 7x 13

360:2x 2x 2x 3x 3x 5

460:2x 2x 5x 23

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 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 115493414400/(2x160)

LCM = 115493414400/320

LCM = 360916920

Thus, we can understand that the LCM of 958,728,360,460 is 360916920.

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

• LCM of 155, 725, 690, 704
• LCM of 843, 223, 125, 330
• LCM of 429, 553, 404, 888
• LCM of 205, 543, 502, 639
• LCM of 719, 359, 279, 397

1. What is the LCM of 958, 728, 360, 460?

Answer: LCM of 958, 728, 360, 460 is 360916920.

2. How to calculate the LCM of 958, 728, 360, 460?

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 958, 728, 360, 460.

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}.