Given numbers are 160,125,219,814

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

The LCM of 160,125,219,814 is 356532000.

Find LCM of 160,125,219,814 with Prime Factorization

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

2 x 5 x 16 x 25 x 219 x 407 = 356532000

Therefore, the lowest common multiple of 160,125,219,814 is 356532000.

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.

160 x 125 x 219 x 814 = 3565320000

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.

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

125 : 1, 5, 25, 125

219 : 1, 3, 73, 219

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,125,219,814, is 1.

Now, the common factors can be found like this.

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

125:5x 5x 5

219:3x 73

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 3565320000/(1x10)

LCM = 3565320000/10

LCM = 356532000

Thus, we can understand that the LCM of 160,125,219,814 is 356532000.

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

• LCM of 927, 117, 212, 734
• LCM of 785, 767, 242, 638
• LCM of 853, 910, 625, 472
• LCM of 537, 847, 443, 439
• LCM of 647, 279, 379, 870

1. What is the LCM of 160, 125, 219, 814?

Answer: LCM of 160, 125, 219, 814 is 356532000.

2. How to calculate the LCM of 160, 125, 219, 814?

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 160, 125, 219, 814.

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}.