Given numbers are 365,107,689,428

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

The LCM of 365,107,689,428 is 107635580.

Find LCM of 365,107,689,428 with Prime Factorization

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

107 x 365 x 1 x 689 x 4 = 107635580

Therefore, the lowest common multiple of 365,107,689,428 is 107635580.

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.

365 x 107 x 689 x 428 = 11517007060

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.

365 : 1, 5, 73, 365

107 : 1, 107

689 : 1, 13, 53, 689

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,107,689,428, is 1.

Now, the common factors can be found like this.

365:5x 73

107:107

689:13x 53

428:2x 2x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 11517007060/(1x107)

LCM = 11517007060/107

LCM = 107635580

Thus, we can understand that the LCM of 365,107,689,428 is 107635580.

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

• LCM of 415, 393, 791, 246
• LCM of 885, 785, 952, 457
• LCM of 421, 449, 931, 161
• LCM of 518, 978, 899, 660
• LCM of 497, 106, 743, 684

1. What is the LCM of 365, 107, 689, 428?

Answer: LCM of 365, 107, 689, 428 is 107635580.

2. How to calculate the LCM of 365, 107, 689, 428?

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 365, 107, 689, 428.

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}.