Given numbers are 352,762,423,138

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

The LCM of 352,762,423,138 is 434925216.

Find LCM of 352,762,423,138 with Prime Factorization

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

2 x 3 x 176 x 127 x 141 x 23 = 434925216

Therefore, the lowest common multiple of 352,762,423,138 is 434925216.

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.

352 x 762 x 423 x 138 = 15657307776

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

762 : 1, 2, 3, 6, 127, 254, 381, 762

423 : 1, 3, 9, 47, 141, 423

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,762,423,138, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

762:2x 3x 127

423:3x 3x 47

138:2x 3x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 15657307776/(1x36)

LCM = 15657307776/36

LCM = 434925216

Thus, we can understand that the LCM of 352,762,423,138 is 434925216.

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

• LCM of 888, 980, 393, 613
• LCM of 980, 849, 521, 850
• LCM of 987, 119, 576, 537
• LCM of 988, 698, 140, 443
• LCM of 405, 719, 944, 224

1. What is the LCM of 352, 762, 423, 138?

Answer: LCM of 352, 762, 423, 138 is 434925216.

2. How to calculate the LCM of 352, 762, 423, 138?

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 352, 762, 423, 138.

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}.