Given numbers are 624,253,319,385

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

The LCM of 624,253,319,385 is 160240080.

Find LCM of 624,253,319,385 with Prime Factorization

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

11 x 624 x 23 x 29 x 35 = 160240080

Therefore, the lowest common multiple of 624,253,319,385 is 160240080.

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 253 x 319 x 385 = 19389049680

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

253 : 1, 11, 23, 253

319 : 1, 11, 29, 319

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,253,319,385, is 1.

Now, the common factors can be found like this.

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

253:11x 23

319:11x 29

385:5x 7x 11

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 19389049680/(1x121)

LCM = 19389049680/121

LCM = 160240080

Thus, we can understand that the LCM of 624,253,319,385 is 160240080.

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

• LCM of 425, 700, 599, 310
• LCM of 636, 365, 224, 433
• LCM of 842, 624, 936, 239
• LCM of 841, 990, 419, 694
• LCM of 223, 792, 731, 962

1. What is the LCM of 624, 253, 319, 385?

Answer: LCM of 624, 253, 319, 385 is 160240080.

2. How to calculate the LCM of 624, 253, 319, 385?

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, 253, 319, 385.

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}.