Given numbers are 214,764,692,128,618

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

The LCM of 214,764,692,128,618 is 139840090752.

Find LCM of 214,764,692,128,618 with Prime Factorization

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

2 x 2 x 107 x 191 x 173 x 32 x 309 = 139840090752

Therefore, the lowest common multiple of 214,764,692,128,618 is 139840090752.

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.

214 x 764 x 692 x 128 x 618 = 8949765808128

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.

214 : 1, 2, 107, 214

764 : 1, 2, 4, 191, 382, 764

692 : 1, 2, 4, 173, 346, 692

128 : 1, 2, 4, 8, 16, 32, 64, 128

618 : 1, 2, 3, 6, 103, 206, 309, 618

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,764,692,128,618, is 2.

Now, the common factors can be found like this.

214:2x 107

764:2x 2x 191

692:2x 2x 173

128:2x 2x 2x 2x 2x 2x 2

618:2x 3x 103

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 2 = 32

Therefore, the value for common factors is 32.

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 = 8949765808128/(2x32)

LCM = 8949765808128/64

LCM = 139840090752

Thus, we can understand that the LCM of 214,764,692,128,618 is 139840090752.

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

• LCM of 912, 292, 667, 945, 384
• LCM of 394, 427, 701, 651, 902
• LCM of 972, 345, 658, 556, 440
• LCM of 912, 188, 761, 741, 408
• LCM of 583, 192, 702, 833, 737

1. What is the LCM of 214, 764, 692, 128, 618?

Answer: LCM of 214, 764, 692, 128, 618 is 139840090752.

2. How to calculate the LCM of 214, 764, 692, 128, 618?

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 214, 764, 692, 128, 618.

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}.