Given numbers are 868,529,509,310

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

The LCM of 868,529,509,310 is 1168592740.

Find LCM of 868,529,509,310 with Prime Factorization

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

2 x 31 x 14 x 529 x 509 x 5 = 1168592740

Therefore, the lowest common multiple of 868,529,509,310 is 1168592740.

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.

868 x 529 x 509 x 310 = 72452749880

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

529 : 1, 23, 529

509 : 1, 509

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,529,509,310, is 1.

Now, the common factors can be found like this.

868:2x 2x 7x 31

529:23x 23

509:509

310:2x 5x 31

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

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 72452749880/(1x62)

LCM = 72452749880/62

LCM = 1168592740

Thus, we can understand that the LCM of 868,529,509,310 is 1168592740.

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

• LCM of 569, 788, 185, 337
• LCM of 675, 190, 125, 871
• LCM of 716, 362, 304, 609
• LCM of 102, 857, 718, 808
• LCM of 439, 601, 804, 731

1. What is the LCM of 868, 529, 509, 310?

Answer: LCM of 868, 529, 509, 310 is 1168592740.

2. How to calculate the LCM of 868, 529, 509, 310?

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 868, 529, 509, 310.

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}.