Given numbers are 311,120,744,742,552

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

The LCM of 311,120,744,742,552 is 9871998360.

Find LCM of 311,120,744,742,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 311 x 5 x 31 x 371 x 23 = 9871998360

Therefore, the lowest common multiple of 311,120,744,742,552 is 9871998360.

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.

311 x 120 x 744 x 742 x 552 = 11372542110720

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.

311 : 1, 311

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

742 : 1, 2, 7, 14, 53, 106, 371, 742

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,120,744,742,552, is 1.

Now, the common factors can be found like this.

311:311

120:2x 2x 2x 3x 5

744:2x 2x 2x 3x 31

742:2x 7x 53

552:2x 2x 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 2x 2x 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 11372542110720/(1x1152)

LCM = 11372542110720/1152

LCM = 9871998360

Thus, we can understand that the LCM of 311,120,744,742,552 is 9871998360.

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

• LCM of 582, 726, 478, 624, 895
• LCM of 670, 152, 674, 423, 163
• LCM of 196, 175, 374, 774, 722
• LCM of 975, 235, 942, 833, 410
• LCM of 971, 873, 895, 843, 347

1. What is the LCM of 311, 120, 744, 742, 552?

Answer: LCM of 311, 120, 744, 742, 552 is 9871998360.

2. How to calculate the LCM of 311, 120, 744, 742, 552?

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 311, 120, 744, 742, 552.

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}.