Given numbers are 590,328,771,314

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

The LCM of 590,328,771,314 is 11712507720.

Find LCM of 590,328,771,314 with Prime Factorization

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

2 x 295 x 164 x 771 x 157 = 11712507720

Therefore, the lowest common multiple of 590,328,771,314 is 11712507720.

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.

590 x 328 x 771 x 314 = 46850030880

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

328 : 1, 2, 4, 8, 41, 82, 164, 328

771 : 1, 3, 257, 771

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,328,771,314, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

328:2x 2x 2x 41

771:3x 257

314:2x 157

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 46850030880/(1x4)

LCM = 46850030880/4

LCM = 11712507720

Thus, we can understand that the LCM of 590,328,771,314 is 11712507720.

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

• LCM of 544, 859, 926, 935
• LCM of 146, 973, 930, 450
• LCM of 815, 795, 355, 534
• LCM of 142, 966, 929, 975
• LCM of 938, 942, 663, 745

1. What is the LCM of 590, 328, 771, 314?

Answer: LCM of 590, 328, 771, 314 is 11712507720.

2. How to calculate the LCM of 590, 328, 771, 314?

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 590, 328, 771, 314.

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}.