Given numbers are 219,642,702,984,438

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

The LCM of 219,642,702,984,438 is 899264808.

Find LCM of 219,642,702,984,438 with Prime Factorization

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

2 x 3 x 73 x 1 x 107 x 117 x 164 x 1 = 899264808

Therefore, the lowest common multiple of 219,642,702,984,438 is 899264808.

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.

219 x 642 x 702 x 984 x 438 = 42538822477632

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.

219 : 1, 3, 73, 219

642 : 1, 2, 3, 6, 107, 214, 321, 642

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

438 : 1, 2, 3, 6, 73, 146, 219, 438

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,642,702,984,438, is 3.

Now, the common factors can be found like this.

219:3x 73

642:2x 3x 107

702:2x 3x 3x 3x 13

984:2x 2x 2x 3x 41

438:2x 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 2x 2x 3x 3x 3x 73 = 15768

Therefore, the value for common factors is 15768.

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 = 42538822477632/(3x15768)

LCM = 42538822477632/47304

LCM = 899264808

Thus, we can understand that the LCM of 219,642,702,984,438 is 899264808.

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

• LCM of 533, 335, 842, 889, 999
• LCM of 731, 116, 101, 583, 732
• LCM of 533, 262, 910, 994, 102
• LCM of 390, 156, 647, 101, 380
• LCM of 897, 690, 941, 900, 940

1. What is the LCM of 219, 642, 702, 984, 438?

Answer: LCM of 219, 642, 702, 984, 438 is 899264808.

2. How to calculate the LCM of 219, 642, 702, 984, 438?

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 219, 642, 702, 984, 438.

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}.