Given numbers are 427,305,319,488

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

The LCM of 427,305,319,488 is 5448520.

Find LCM of 427,305,319,488 with Prime Factorization

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

61 x 7 x 5 x 319 x 8 = 5448520

Therefore, the lowest common multiple of 427,305,319,488 is 5448520.

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.

427 x 305 x 319 x 488 = 20273942920

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.

427 : 1, 7, 61, 427

305 : 1, 5, 61, 305

319 : 1, 11, 29, 319

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,305,319,488, is 1.

Now, the common factors can be found like this.

427:7x 61

305:5x 61

319:11x 29

488:2x 2x 2x 61

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

61x 61 = 3721

Therefore, the value for common factors is 3721.

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 = 20273942920/(1x3721)

LCM = 20273942920/3721

LCM = 5448520

Thus, we can understand that the LCM of 427,305,319,488 is 5448520.

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

• LCM of 943, 393, 135, 331
• LCM of 845, 962, 531, 179
• LCM of 885, 724, 257, 451
• LCM of 375, 711, 850, 608
• LCM of 984, 142, 398, 865

1. What is the LCM of 427, 305, 319, 488?

Answer: LCM of 427, 305, 319, 488 is 5448520.

2. How to calculate the LCM of 427, 305, 319, 488?

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 427, 305, 319, 488.

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}.