Given numbers are 290,603,639,198,792

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

The LCM of 290,603,639,198,792 is 546293880.

Find LCM of 290,603,639,198,792 with Prime Factorization

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

2 x 3 x 3 x 11 x 145 x 67 x 71 x 1 x 4 = 546293880

Therefore, the lowest common multiple of 290,603,639,198,792 is 546293880.

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.

290 x 603 x 639 x 198 x 792 = 17522922494880

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

603 : 1, 3, 9, 67, 201, 603

639 : 1, 3, 9, 71, 213, 639

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,603,639,198,792, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

603:3x 3x 67

639:3x 3x 71

198:2x 3x 3x 11

792:2x 2x 2x 3x 3x 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 3x 3x 3x 3x 3x 3x 11 = 32076

Therefore, the value for common factors is 32076.

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 = 17522922494880/(1x32076)

LCM = 17522922494880/32076

LCM = 546293880

Thus, we can understand that the LCM of 290,603,639,198,792 is 546293880.

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

• LCM of 828, 303, 795, 922, 716
• LCM of 290, 233, 170, 764, 690
• LCM of 226, 342, 944, 780, 618
• LCM of 361, 116, 729, 530, 110
• LCM of 706, 876, 354, 979, 723

1. What is the LCM of 290, 603, 639, 198, 792?

Answer: LCM of 290, 603, 639, 198, 792 is 546293880.

2. How to calculate the LCM of 290, 603, 639, 198, 792?

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 290, 603, 639, 198, 792.

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}.