Given numbers are 434,138,296,442

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

The LCM of 434,138,296,442 is 979473768.

Find LCM of 434,138,296,442 with Prime Factorization

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

2 x 217 x 69 x 148 x 221 = 979473768

Therefore, the lowest common multiple of 434,138,296,442 is 979473768.

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.

434 x 138 x 296 x 442 = 7835790144

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

138 : 1, 2, 3, 6, 23, 46, 69, 138

296 : 1, 2, 4, 8, 37, 74, 148, 296

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,138,296,442, is 2.

Now, the common factors can be found like this.

434:2x 7x 31

138:2x 3x 23

296:2x 2x 2x 37

442:2x 13x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7835790144/(2x4)

LCM = 7835790144/8

LCM = 979473768

Thus, we can understand that the LCM of 434,138,296,442 is 979473768.

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

• LCM of 257, 788, 829, 533
• LCM of 131, 104, 332, 361
• LCM of 491, 186, 666, 865
• LCM of 325, 466, 417, 596
• LCM of 518, 652, 242, 770

1. What is the LCM of 434, 138, 296, 442?

Answer: LCM of 434, 138, 296, 442 is 979473768.

2. How to calculate the LCM of 434, 138, 296, 442?

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 434, 138, 296, 442.

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}.