Given numbers are 429,436,415,678

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

The LCM of 429,436,415,678 is 8771428380.

Find LCM of 429,436,415,678 with Prime Factorization

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

2 x 3 x 143 x 218 x 415 x 113 = 8771428380

Therefore, the lowest common multiple of 429,436,415,678 is 8771428380.

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.

429 x 436 x 415 x 678 = 52628570280

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

436 : 1, 2, 4, 109, 218, 436

415 : 1, 5, 83, 415

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,436,415,678, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

436:2x 2x 109

415:5x 83

678:2x 3x 113

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 52628570280/(1x6)

LCM = 52628570280/6

LCM = 8771428380

Thus, we can understand that the LCM of 429,436,415,678 is 8771428380.

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

• LCM of 280, 415, 254, 983
• LCM of 587, 484, 805, 379
• LCM of 869, 521, 746, 271
• LCM of 766, 704, 320, 669
• LCM of 614, 312, 366, 538

1. What is the LCM of 429, 436, 415, 678?

Answer: LCM of 429, 436, 415, 678 is 8771428380.

2. How to calculate the LCM of 429, 436, 415, 678?

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 429, 436, 415, 678.

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}.