Given numbers are 394,350,552,424,968

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

The LCM of 394,350,552,424,968 is 122040672600.

Find LCM of 394,350,552,424,968 with Prime Factorization

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

2 x 2 x 2 x 197 x 175 x 69 x 53 x 121 = 122040672600

Therefore, the lowest common multiple of 394,350,552,424,968 is 122040672600.

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.

394 x 350 x 552 x 424 x 968 = 31242412185600

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.

394 : 1, 2, 197, 394

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,350,552,424,968, is 2.

Now, the common factors can be found like this.

394:2x 197

350:2x 5x 5x 7

552:2x 2x 2x 3x 23

424:2x 2x 2x 53

968:2x 2x 2x 11x 11

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 2 = 128

Therefore, the value for common factors is 128.

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 = 31242412185600/(2x128)

LCM = 31242412185600/256

LCM = 122040672600

Thus, we can understand that the LCM of 394,350,552,424,968 is 122040672600.

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

• LCM of 138, 134, 534, 865, 143
• LCM of 321, 991, 510, 916, 591
• LCM of 247, 698, 496, 995, 106
• LCM of 625, 511, 244, 700, 787
• LCM of 433, 511, 112, 435, 231

1. What is the LCM of 394, 350, 552, 424, 968?

Answer: LCM of 394, 350, 552, 424, 968 is 122040672600.

2. How to calculate the LCM of 394, 350, 552, 424, 968?

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 394, 350, 552, 424, 968.

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}.