Given numbers are 513,528,402,169,227

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

The LCM of 513,528,402,169,227 is 232069142448.

Find LCM of 513,528,402,169,227 with Prime Factorization

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

2 x 3 x 171 x 88 x 67 x 169 x 227 = 232069142448

Therefore, the lowest common multiple of 513,528,402,169,227 is 232069142448.

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.

513 x 528 x 402 x 169 x 227 = 4177244564064

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

402 : 1, 2, 3, 6, 67, 134, 201, 402

169 : 1, 13, 169

227 : 1, 227

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,528,402,169,227, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

528:2x 2x 2x 2x 3x 11

402:2x 3x 67

169:13x 13

227:227

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 4177244564064/(1x18)

LCM = 4177244564064/18

LCM = 232069142448

Thus, we can understand that the LCM of 513,528,402,169,227 is 232069142448.

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

• LCM of 504, 355, 385, 781, 974
• LCM of 536, 582, 454, 817, 293
• LCM of 395, 195, 446, 111, 817
• LCM of 333, 101, 172, 535, 678
• LCM of 181, 107, 779, 705, 255

1. What is the LCM of 513, 528, 402, 169, 227?

Answer: LCM of 513, 528, 402, 169, 227 is 232069142448.

2. How to calculate the LCM of 513, 528, 402, 169, 227?

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 513, 528, 402, 169, 227.

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}.