Given numbers are 189,566,119,464

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

The LCM of 189,566,119,464 is 421905456.

Find LCM of 189,566,119,464 with Prime Factorization

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

2 x 7 x 27 x 283 x 17 x 232 = 421905456

Therefore, the lowest common multiple of 189,566,119,464 is 421905456.

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.

189 x 566 x 119 x 464 = 5906676384

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

566 : 1, 2, 283, 566

119 : 1, 7, 17, 119

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,566,119,464, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

566:2x 283

119:7x 17

464:2x 2x 2x 2x 29

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 5906676384/(1x14)

LCM = 5906676384/14

LCM = 421905456

Thus, we can understand that the LCM of 189,566,119,464 is 421905456.

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

• LCM of 394, 260, 883, 665
• LCM of 618, 535, 191, 195
• LCM of 553, 529, 175, 103
• LCM of 663, 382, 681, 804
• LCM of 284, 673, 674, 779

1. What is the LCM of 189, 566, 119, 464?

Answer: LCM of 189, 566, 119, 464 is 421905456.

2. How to calculate the LCM of 189, 566, 119, 464?

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 189, 566, 119, 464.

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}.