Given numbers are 909,528,377,416

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

The LCM of 909,528,377,416 is 120627936.

Find LCM of 909,528,377,416 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 303 x 11 x 29 x 2 = 120627936

Therefore, the lowest common multiple of 909,528,377,416 is 120627936.

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.

909 x 528 x 377 x 416 = 75271832064

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.

909 : 1, 3, 9, 101, 303, 909

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

377 : 1, 13, 29, 377

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,528,377,416, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

528:2x 2x 2x 2x 3x 11

377:13x 29

416:2x 2x 2x 2x 2x 13

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 13 = 624

Therefore, the value for common factors is 624.

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 = 75271832064/(1x624)

LCM = 75271832064/624

LCM = 120627936

Thus, we can understand that the LCM of 909,528,377,416 is 120627936.

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

• LCM of 894, 567, 494, 841
• LCM of 572, 138, 947, 870
• LCM of 703, 855, 786, 790
• LCM of 977, 566, 533, 273
• LCM of 188, 603, 382, 752

1. What is the LCM of 909, 528, 377, 416?

Answer: LCM of 909, 528, 377, 416 is 120627936.

2. How to calculate the LCM of 909, 528, 377, 416?

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 909, 528, 377, 416.

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}.