Given numbers are 989,538,414,365

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

The LCM of 989,538,414,365 is 1747889370.

Find LCM of 989,538,414,365 with Prime Factorization

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

2 x 23 x 43 x 269 x 9 x 365 = 1747889370

Therefore, the lowest common multiple of 989,538,414,365 is 1747889370.

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.

989 x 538 x 414 x 365 = 80402911020

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.

989 : 1, 23, 43, 989

538 : 1, 2, 269, 538

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

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,538,414,365, is 1.

Now, the common factors can be found like this.

989:23x 43

538:2x 269

414:2x 3x 3x 23

365:5x 73

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 80402911020/(1x46)

LCM = 80402911020/46

LCM = 1747889370

Thus, we can understand that the LCM of 989,538,414,365 is 1747889370.

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

• LCM of 376, 771, 493, 839
• LCM of 361, 870, 790, 753
• LCM of 831, 958, 847, 937
• LCM of 448, 473, 963, 372
• LCM of 874, 945, 266, 273

1. What is the LCM of 989, 538, 414, 365?

Answer: LCM of 989, 538, 414, 365 is 1747889370.

2. How to calculate the LCM of 989, 538, 414, 365?

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 989, 538, 414, 365.

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}.