Given numbers are 427,305,312,981

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

The LCM of 427,305,312,981 is 217821240.

Find LCM of 427,305,312,981 with Prime Factorization

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

3 x 61 x 7 x 5 x 104 x 327 = 217821240

Therefore, the lowest common multiple of 427,305,312,981 is 217821240.

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 312 x 981 = 39861286920

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

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

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,305,312,981, is 1.

Now, the common factors can be found like this.

427:7x 61

305:5x 61

312:2x 2x 2x 3x 13

981:3x 3x 109

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

3x 61 = 183

Therefore, the value for common factors is 183.

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 = 39861286920/(1x183)

LCM = 39861286920/183

LCM = 217821240

Thus, we can understand that the LCM of 427,305,312,981 is 217821240.

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

• LCM of 940, 525, 962, 665
• LCM of 276, 268, 977, 368
• LCM of 404, 200, 195, 294
• LCM of 228, 915, 545, 650
• LCM of 950, 255, 519, 271

1. What is the LCM of 427, 305, 312, 981?

Answer: LCM of 427, 305, 312, 981 is 217821240.

2. How to calculate the LCM of 427, 305, 312, 981?

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, 312, 981.

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}.