Given numbers are 456,907,697,106,214

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

The LCM of 456,907,697,106,214 is 1634799721704.

Find LCM of 456,907,697,106,214 with Prime Factorization

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

2 x 228 x 907 x 697 x 53 x 107 = 1634799721704

Therefore, the lowest common multiple of 456,907,697,106,214 is 1634799721704.

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.

456 x 907 x 697 x 106 x 214 = 6539198886816

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

907 : 1, 907

697 : 1, 17, 41, 697

106 : 1, 2, 53, 106

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,907,697,106,214, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

907:907

697:17x 41

106:2x 53

214:2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6539198886816/(1x4)

LCM = 6539198886816/4

LCM = 1634799721704

Thus, we can understand that the LCM of 456,907,697,106,214 is 1634799721704.

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

• LCM of 626, 493, 610, 263, 890
• LCM of 705, 995, 275, 539, 253
• LCM of 980, 894, 824, 605, 601
• LCM of 541, 441, 138, 117, 563
• LCM of 546, 662, 177, 883, 433

1. What is the LCM of 456, 907, 697, 106, 214?

Answer: LCM of 456, 907, 697, 106, 214 is 1634799721704.

2. How to calculate the LCM of 456, 907, 697, 106, 214?

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 456, 907, 697, 106, 214.

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}.