Given numbers are 242,690,580,780

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

The LCM of 242,690,580,780 is 62951460.

Find LCM of 242,690,580,780 with Prime Factorization

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

2 x 2 x 3 x 5 x 121 x 23 x 29 x 13 = 62951460

Therefore, the lowest common multiple of 242,690,580,780 is 62951460.

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.

242 x 690 x 580 x 780 = 75541752000

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.

242 : 1, 2, 11, 22, 121, 242

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,690,580,780, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

690:2x 3x 5x 23

580:2x 2x 5x 29

780:2x 2x 3x 5x 13

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 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 75541752000/(2x600)

LCM = 75541752000/1200

LCM = 62951460

Thus, we can understand that the LCM of 242,690,580,780 is 62951460.

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

• LCM of 992, 616, 180, 665
• LCM of 345, 635, 950, 858
• LCM of 997, 166, 358, 939
• LCM of 872, 188, 429, 184
• LCM of 697, 721, 531, 723

1. What is the LCM of 242, 690, 580, 780?

Answer: LCM of 242, 690, 580, 780 is 62951460.

2. How to calculate the LCM of 242, 690, 580, 780?

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 242, 690, 580, 780.

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}.