Given numbers are 624,580,269,916

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

The LCM of 624,580,269,916 is 5573658480.

Find LCM of 624,580,269,916 with Prime Factorization

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

2 x 2 x 156 x 145 x 269 x 229 = 5573658480

Therefore, the lowest common multiple of 624,580,269,916 is 5573658480.

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.

624 x 580 x 269 x 916 = 89178535680

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

269 : 1, 269

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,580,269,916, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

580:2x 2x 5x 29

269:269

916:2x 2x 229

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 2 = 16

Therefore, the value for common factors is 16.

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 = 89178535680/(1x16)

LCM = 89178535680/16

LCM = 5573658480

Thus, we can understand that the LCM of 624,580,269,916 is 5573658480.

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

• LCM of 369, 973, 504, 665
• LCM of 783, 943, 817, 626
• LCM of 924, 139, 929, 827
• LCM of 443, 315, 474, 415
• LCM of 396, 830, 177, 127

1. What is the LCM of 624, 580, 269, 916?

Answer: LCM of 624, 580, 269, 916 is 5573658480.

2. How to calculate the LCM of 624, 580, 269, 916?

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 624, 580, 269, 916.

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}.