Given numbers are 234,442,686,780

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

The LCM of 234,442,686,780 is 13644540.

Find LCM of 234,442,686,780 with Prime Factorization

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

2 x 3 x 13 x 3 x 17 x 343 x 10 = 13644540

Therefore, the lowest common multiple of 234,442,686,780 is 13644540.

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.

234 x 442 x 686 x 780 = 55342254240

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

442 : 1, 2, 13, 17, 26, 34, 221, 442

686 : 1, 2, 7, 14, 49, 98, 343, 686

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 234,442,686,780, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

442:2x 13x 17

686:2x 7x 7x 7

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 3x 13x 13 = 2028

Therefore, the value for common factors is 2028.

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 = 55342254240/(2x2028)

LCM = 55342254240/4056

LCM = 13644540

Thus, we can understand that the LCM of 234,442,686,780 is 13644540.

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

• LCM of 395, 378, 696, 104
• LCM of 428, 142, 557, 594
• LCM of 787, 913, 680, 432
• LCM of 862, 985, 695, 711
• LCM of 213, 169, 945, 654

1. What is the LCM of 234, 442, 686, 780?

Answer: LCM of 234, 442, 686, 780 is 13644540.

2. How to calculate the LCM of 234, 442, 686, 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 234, 442, 686, 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}.