Given numbers are 792,199,319,671,420

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

The LCM of 792,199,319,671,420 is 9758299320.

Find LCM of 792,199,319,671,420 with Prime Factorization

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

2 x 2 x 3 x 11 x 6 x 199 x 29 x 61 x 35 = 9758299320

Therefore, the lowest common multiple of 792,199,319,671,420 is 9758299320.

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.

792 x 199 x 319 x 671 x 420 = 14169050612640

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.

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

199 : 1, 199

319 : 1, 11, 29, 319

671 : 1, 11, 61, 671

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,199,319,671,420, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

199:199

319:11x 29

671:11x 61

420:2x 2x 3x 5x 7

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 11x 11 = 1452

Therefore, the value for common factors is 1452.

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 = 14169050612640/(1x1452)

LCM = 14169050612640/1452

LCM = 9758299320

Thus, we can understand that the LCM of 792,199,319,671,420 is 9758299320.

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

• LCM of 234, 455, 577, 774, 241
• LCM of 659, 898, 795, 497, 369
• LCM of 460, 220, 660, 811, 433
• LCM of 335, 577, 197, 865, 224
• LCM of 841, 268, 871, 953, 303

1. What is the LCM of 792, 199, 319, 671, 420?

Answer: LCM of 792, 199, 319, 671, 420 is 9758299320.

2. How to calculate the LCM of 792, 199, 319, 671, 420?

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 792, 199, 319, 671, 420.

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}.