Given numbers are 407,178,212,219

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

The LCM of 407,178,212,219 is 1681761444.

Find LCM of 407,178,212,219 with Prime Factorization

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

2 x 407 x 89 x 106 x 219 = 1681761444

Therefore, the lowest common multiple of 407,178,212,219 is 1681761444.

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.

407 x 178 x 212 x 219 = 3363522888

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.

407 : 1, 11, 37, 407

178 : 1, 2, 89, 178

212 : 1, 2, 4, 53, 106, 212

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,178,212,219, is 1.

Now, the common factors can be found like this.

407:11x 37

178:2x 89

212:2x 2x 53

219:3x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 3363522888/(1x2)

LCM = 3363522888/2

LCM = 1681761444

Thus, we can understand that the LCM of 407,178,212,219 is 1681761444.

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

• LCM of 354, 192, 711, 456
• LCM of 743, 881, 198, 743
• LCM of 368, 240, 851, 130
• LCM of 984, 925, 373, 638
• LCM of 339, 166, 863, 111

1. What is the LCM of 407, 178, 212, 219?

Answer: LCM of 407, 178, 212, 219 is 1681761444.

2. How to calculate the LCM of 407, 178, 212, 219?

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 407, 178, 212, 219.

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}.