Given numbers are 318,128,120,702,626

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

The LCM of 318,128,120,702,626 is 3726552960.

Find LCM of 318,128,120,702,626 with Prime Factorization

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

2 x 2 x 2 x 3 x 53 x 16 x 5 x 117 x 313 = 3726552960

Therefore, the lowest common multiple of 318,128,120,702,626 is 3726552960.

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.

318 x 128 x 120 x 702 x 626 = 2146494504960

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

626 : 1, 2, 313, 626

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,128,120,702,626, is 2.

Now, the common factors can be found like this.

318:2x 3x 53

128:2x 2x 2x 2x 2x 2x 2

120:2x 2x 2x 3x 5

702:2x 3x 3x 3x 13

626:2x 313

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 2146494504960/(2x288)

LCM = 2146494504960/576

LCM = 3726552960

Thus, we can understand that the LCM of 318,128,120,702,626 is 3726552960.

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

• LCM of 178, 956, 880, 289, 805
• LCM of 125, 902, 942, 586, 130
• LCM of 914, 801, 121, 724, 122
• LCM of 728, 997, 251, 832, 715
• LCM of 485, 302, 685, 586, 879

1. What is the LCM of 318, 128, 120, 702, 626?

Answer: LCM of 318, 128, 120, 702, 626 is 3726552960.

2. How to calculate the LCM of 318, 128, 120, 702, 626?

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 318, 128, 120, 702, 626.

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}.