Given numbers are 142,560,450,565,160

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

The LCM of 142,560,450,565,160 is 404359200.

Find LCM of 142,560,450,565,160 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 71 x 7 x 45 x 113 x 2 = 404359200

Therefore, the lowest common multiple of 142,560,450,565,160 is 404359200.

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.

142 x 560 x 450 x 565 x 160 = 3234873600000

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.

142 : 1, 2, 71, 142

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

565 : 1, 5, 113, 565

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,560,450,565,160, is 1.

Now, the common factors can be found like this.

142:2x 71

560:2x 2x 2x 2x 5x 7

450:2x 3x 3x 5x 5

565:5x 113

160:2x 2x 2x 2x 2x 5

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 2x 5x 5x 5 = 8000

Therefore, the value for common factors is 8000.

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 = 3234873600000/(1x8000)

LCM = 3234873600000/8000

LCM = 404359200

Thus, we can understand that the LCM of 142,560,450,565,160 is 404359200.

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

• LCM of 308, 976, 564, 496, 884
• LCM of 172, 486, 362, 450, 530
• LCM of 426, 945, 846, 366, 481
• LCM of 900, 510, 938, 667, 887
• LCM of 928, 376, 454, 804, 325

1. What is the LCM of 142, 560, 450, 565, 160?

Answer: LCM of 142, 560, 450, 565, 160 is 404359200.

2. How to calculate the LCM of 142, 560, 450, 565, 160?

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 142, 560, 450, 565, 160.

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}.