Given numbers are 345,474,926,792,436

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

The LCM of 345,474,926,792,436 is 363126214440.

Find LCM of 345,474,926,792,436 with Prime Factorization

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

2 x 2 x 3 x 115 x 79 x 463 x 66 x 109 = 363126214440

Therefore, the lowest common multiple of 345,474,926,792,436 is 363126214440.

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.

345 x 474 x 926 x 792 x 436 = 52290174879360

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

474 : 1, 2, 3, 6, 79, 158, 237, 474

926 : 1, 2, 463, 926

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

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,474,926,792,436, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

474:2x 3x 79

926:2x 463

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

436:2x 2x 109

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 52290174879360/(1x144)

LCM = 52290174879360/144

LCM = 363126214440

Thus, we can understand that the LCM of 345,474,926,792,436 is 363126214440.

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

• LCM of 817, 735, 375, 648, 199
• LCM of 462, 276, 376, 871, 265
• LCM of 223, 775, 542, 585, 636
• LCM of 611, 794, 982, 808, 820
• LCM of 411, 688, 627, 956, 187

1. What is the LCM of 345, 474, 926, 792, 436?

Answer: LCM of 345, 474, 926, 792, 436 is 363126214440.

2. How to calculate the LCM of 345, 474, 926, 792, 436?

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 345, 474, 926, 792, 436.

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}.