Given numbers are 141,257,312,344,413

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

The LCM of 141,257,312,344,413 is 66927419832.

Find LCM of 141,257,312,344,413 with Prime Factorization

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

2 x 2 x 2 x 3 x 47 x 257 x 13 x 43 x 413 = 66927419832

Therefore, the lowest common multiple of 141,257,312,344,413 is 66927419832.

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.

141 x 257 x 312 x 344 x 413 = 1606258075968

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.

141 : 1, 3, 47, 141

257 : 1, 257

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

344 : 1, 2, 4, 8, 43, 86, 172, 344

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,257,312,344,413, is 1.

Now, the common factors can be found like this.

141:3x 47

257:257

312:2x 2x 2x 3x 13

344:2x 2x 2x 43

413:7x 59

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 3 = 24

Therefore, the value for common factors is 24.

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 = 1606258075968/(1x24)

LCM = 1606258075968/24

LCM = 66927419832

Thus, we can understand that the LCM of 141,257,312,344,413 is 66927419832.

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

• LCM of 844, 743, 411, 211, 887
• LCM of 844, 479, 955, 528, 364
• LCM of 280, 768, 309, 123, 922
• LCM of 419, 426, 105, 740, 140
• LCM of 841, 324, 730, 535, 839

1. What is the LCM of 141, 257, 312, 344, 413?

Answer: LCM of 141, 257, 312, 344, 413 is 66927419832.

2. How to calculate the LCM of 141, 257, 312, 344, 413?

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 141, 257, 312, 344, 413.

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}.