Given numbers are 960,720,201,341,827

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

The LCM of 960,720,201,341,827 is 54416070720.

Find LCM of 960,720,201,341,827 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 4 x 3 x 67 x 341 x 827 = 54416070720

Therefore, the lowest common multiple of 960,720,201,341,827 is 54416070720.

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.

960 x 720 x 201 x 341 x 827 = 39179570918400

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

201 : 1, 3, 67, 201

341 : 1, 11, 31, 341

827 : 1, 827

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,720,201,341,827, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

720:2x 2x 2x 2x 3x 3x 5

201:3x 67

341:11x 31

827:827

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 39179570918400/(1x720)

LCM = 39179570918400/720

LCM = 54416070720

Thus, we can understand that the LCM of 960,720,201,341,827 is 54416070720.

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

• LCM of 715, 808, 647, 879, 389
• LCM of 299, 519, 298, 850, 361
• LCM of 742, 295, 182, 987, 469
• LCM of 237, 515, 639, 980, 310
• LCM of 619, 242, 476, 167, 895

1. What is the LCM of 960, 720, 201, 341, 827?

Answer: LCM of 960, 720, 201, 341, 827 is 54416070720.

2. How to calculate the LCM of 960, 720, 201, 341, 827?

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 960, 720, 201, 341, 827.

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}.