Given numbers are 468,469,780,221,598

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

The LCM of 468,469,780,221,598 is 429106860.

Find LCM of 468,469,780,221,598 with Prime Factorization

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

2 x 2 x 3 x 13 x 3 x 469 x 5 x 17 x 23 = 429106860

Therefore, the lowest common multiple of 468,469,780,221,598 is 429106860.

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.

468 x 469 x 780 x 221 x 598 = 22625946514080

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

469 : 1, 7, 67, 469

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

221 : 1, 13, 17, 221

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,469,780,221,598, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

469:7x 67

780:2x 2x 3x 5x 13

221:13x 17

598:2x 13x 23

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 13x 13x 13 = 52728

Therefore, the value for common factors is 52728.

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 = 22625946514080/(1x52728)

LCM = 22625946514080/52728

LCM = 429106860

Thus, we can understand that the LCM of 468,469,780,221,598 is 429106860.

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

• LCM of 303, 476, 918, 554, 918
• LCM of 265, 240, 552, 875, 577
• LCM of 620, 504, 506, 931, 599
• LCM of 109, 187, 171, 551, 516
• LCM of 598, 811, 949, 893, 232

1. What is the LCM of 468, 469, 780, 221, 598?

Answer: LCM of 468, 469, 780, 221, 598 is 429106860.

2. How to calculate the LCM of 468, 469, 780, 221, 598?

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 468, 469, 780, 221, 598.

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}.