Given numbers are 747,100,106,402

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

The LCM of 747,100,106,402 is 265259700.

Find LCM of 747,100,106,402 with Prime Factorization

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

2 x 3 x 249 x 50 x 53 x 67 = 265259700

Therefore, the lowest common multiple of 747,100,106,402 is 265259700.

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.

747 x 100 x 106 x 402 = 3183116400

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.

747 : 1, 3, 9, 83, 249, 747

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

106 : 1, 2, 53, 106

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,100,106,402, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

100:2x 2x 5x 5

106:2x 53

402:2x 3x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3183116400/(1x12)

LCM = 3183116400/12

LCM = 265259700

Thus, we can understand that the LCM of 747,100,106,402 is 265259700.

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

• LCM of 870, 630, 374, 240
• LCM of 778, 451, 159, 989
• LCM of 311, 111, 132, 341
• LCM of 860, 623, 779, 419
• LCM of 692, 270, 381, 712

1. What is the LCM of 747, 100, 106, 402?

Answer: LCM of 747, 100, 106, 402 is 265259700.

2. How to calculate the LCM of 747, 100, 106, 402?

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 747, 100, 106, 402.

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}.