Given numbers are 760,502,590,340,916

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

The LCM of 760,502,590,340,916 is 43815092120.

Find LCM of 760,502,590,340,916 with Prime Factorization

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

2 x 2 x 5 x 38 x 251 x 59 x 17 x 229 = 43815092120

Therefore, the lowest common multiple of 760,502,590,340,916 is 43815092120.

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.

760 x 502 x 590 x 340 x 916 = 70104147392000

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

502 : 1, 2, 251, 502

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

916 : 1, 2, 4, 229, 458, 916

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,502,590,340,916, is 2.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

502:2x 251

590:2x 5x 59

340:2x 2x 5x 17

916:2x 2x 229

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

2x 2x 2x 2x 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 70104147392000/(2x800)

LCM = 70104147392000/1600

LCM = 43815092120

Thus, we can understand that the LCM of 760,502,590,340,916 is 43815092120.

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

• LCM of 705, 785, 227, 269, 790
• LCM of 247, 997, 358, 250, 679
• LCM of 769, 724, 346, 283, 108
• LCM of 429, 442, 257, 375, 558
• LCM of 220, 847, 187, 856, 118

1. What is the LCM of 760, 502, 590, 340, 916?

Answer: LCM of 760, 502, 590, 340, 916 is 43815092120.

2. How to calculate the LCM of 760, 502, 590, 340, 916?

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 760, 502, 590, 340, 916.

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}.