Given numbers are 345,107,414,598

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

The LCM of 345,107,414,598 is 2879370.

Find LCM of 345,107,414,598 with Prime Factorization

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

2 x 3 x 23 x 5 x 107 x 3 x 13 = 2879370

Therefore, the lowest common multiple of 345,107,414,598 is 2879370.

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 107 x 414 x 598 = 9139120380

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

107 : 1, 107

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,107,414,598, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

107:107

414:2x 3x 3x 23

598:2x 13x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 23x 23 = 3174

Therefore, the value for common factors is 3174.

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 = 9139120380/(1x3174)

LCM = 9139120380/3174

LCM = 2879370

Thus, we can understand that the LCM of 345,107,414,598 is 2879370.

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

• LCM of 117, 568, 793, 245
• LCM of 541, 915, 670, 990
• LCM of 756, 844, 316, 186
• LCM of 553, 450, 518, 718
• LCM of 653, 300, 611, 505

1. What is the LCM of 345, 107, 414, 598?

Answer: LCM of 345, 107, 414, 598 is 2879370.

2. How to calculate the LCM of 345, 107, 414, 598?

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, 107, 414, 598.

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}.