Given numbers are 857,312,738,106

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

The LCM of 857,312,738,106 is 1743076296.

Find LCM of 857,312,738,106 with Prime Factorization

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

2 x 3 x 857 x 52 x 123 x 53 = 1743076296

Therefore, the lowest common multiple of 857,312,738,106 is 1743076296.

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.

857 x 312 x 738 x 106 = 20916915552

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.

857 : 1, 857

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,312,738,106, is 1.

Now, the common factors can be found like this.

857:857

312:2x 2x 2x 3x 13

738:2x 3x 3x 41

106:2x 53

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 = 20916915552/(1x12)

LCM = 20916915552/12

LCM = 1743076296

Thus, we can understand that the LCM of 857,312,738,106 is 1743076296.

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

• LCM of 141, 518, 471, 683
• LCM of 980, 146, 514, 367
• LCM of 843, 354, 683, 912
• LCM of 977, 834, 427, 746
• LCM of 863, 217, 172, 194

1. What is the LCM of 857, 312, 738, 106?

Answer: LCM of 857, 312, 738, 106 is 1743076296.

2. How to calculate the LCM of 857, 312, 738, 106?

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 857, 312, 738, 106.

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}.