Given numbers are 2,624,689,219

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

The LCM of 2,624,689,219 is 2414256.

Find LCM of 2,624,689,219 with Prime Factorization

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

2 x 3 x 13 x 1 x 8 x 53 x 73 = 2414256

Therefore, the lowest common multiple of 2,624,689,219 is 2414256.

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.

2 x 624 x 689 x 219 = 188311968

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.

2 : 1, 2

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

689 : 1, 13, 53, 689

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2,624,689,219, is 1.

Now, the common factors can be found like this.

2:2

624:2x 2x 2x 2x 3x 13

689:13x 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.

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 188311968/(1x78)

LCM = 188311968/78

LCM = 2414256

Thus, we can understand that the LCM of 2,624,689,219 is 2414256.

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

• LCM of 5, 836, 368, 109
• LCM of 2, 728, 147, 317
• LCM of 3, 256, 824, 667
• LCM of 7, 810, 908, 792
• LCM of 8, 318, 760, 415

1. What is the LCM of 2, 624, 689, 219?

Answer: LCM of 2, 624, 689, 219 is 2414256.

2. How to calculate the LCM of 2, 624, 689, 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 2, 624, 689, 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}.