Given numbers are 565,366,314,271

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

The LCM of 565,366,314,271 is 8798294130.

Find LCM of 565,366,314,271 with Prime Factorization

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

2 x 565 x 183 x 157 x 271 = 8798294130

Therefore, the lowest common multiple of 565,366,314,271 is 8798294130.

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.

565 x 366 x 314 x 271 = 17596588260

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.

565 : 1, 5, 113, 565

366 : 1, 2, 3, 6, 61, 122, 183, 366

314 : 1, 2, 157, 314

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,366,314,271, is 1.

Now, the common factors can be found like this.

565:5x 113

366:2x 3x 61

314:2x 157

271:271

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17596588260/(1x2)

LCM = 17596588260/2

LCM = 8798294130

Thus, we can understand that the LCM of 565,366,314,271 is 8798294130.

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

• LCM of 450, 831, 818, 496
• LCM of 307, 813, 905, 194
• LCM of 692, 947, 251, 247
• LCM of 830, 746, 429, 770
• LCM of 168, 568, 558, 928

1. What is the LCM of 565, 366, 314, 271?

Answer: LCM of 565, 366, 314, 271 is 8798294130.

2. How to calculate the LCM of 565, 366, 314, 271?

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 565, 366, 314, 271.

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}.