Given numbers are 239,480,280,460

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

The LCM of 239,480,280,460 is 18469920.

Find LCM of 239,480,280,460 with Prime Factorization

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

2 x 2 x 2 x 5 x 239 x 12 x 7 x 23 = 18469920

Therefore, the lowest common multiple of 239,480,280,460 is 18469920.

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.

239 x 480 x 280 x 460 = 14775936000

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.

239 : 1, 239

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,480,280,460, is 1.

Now, the common factors can be found like this.

239:239

480:2x 2x 2x 2x 2x 3x 5

280:2x 2x 2x 5x 7

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 14775936000/(1x800)

LCM = 14775936000/800

LCM = 18469920

Thus, we can understand that the LCM of 239,480,280,460 is 18469920.

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

• LCM of 577, 358, 586, 830
• LCM of 830, 839, 274, 729
• LCM of 730, 644, 641, 153
• LCM of 340, 867, 389, 411
• LCM of 891, 931, 641, 890

1. What is the LCM of 239, 480, 280, 460?

Answer: LCM of 239, 480, 280, 460 is 18469920.

2. How to calculate the LCM of 239, 480, 280, 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 239, 480, 280, 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}.