Given numbers are 429,784,738,226,386

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

The LCM of 429,784,738,226,386 is 902223674352.

Find LCM of 429,784,738,226,386 with Prime Factorization

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

2 x 3 x 143 x 392 x 123 x 113 x 193 = 902223674352

Therefore, the lowest common multiple of 429,784,738,226,386 is 902223674352.

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 784 x 738 x 226 x 386 = 21653368184448

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

226 : 1, 2, 113, 226

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,784,738,226,386, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

784:2x 2x 2x 2x 7x 7

738:2x 3x 3x 41

226:2x 113

386:2x 193

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 3 = 24

Therefore, the value for common factors is 24.

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 = 21653368184448/(1x24)

LCM = 21653368184448/24

LCM = 902223674352

Thus, we can understand that the LCM of 429,784,738,226,386 is 902223674352.

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

• LCM of 233, 703, 512, 613, 155
• LCM of 700, 912, 122, 430, 775
• LCM of 138, 527, 642, 276, 400
• LCM of 445, 465, 308, 614, 150
• LCM of 210, 959, 113, 280, 916

1. What is the LCM of 429, 784, 738, 226, 386?

Answer: LCM of 429, 784, 738, 226, 386 is 902223674352.

2. How to calculate the LCM of 429, 784, 738, 226, 386?

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, 784, 738, 226, 386.

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}.