Given numbers are 506,616,968,759,865

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

The LCM of 506,616,968,759,865 is 404425560.

Find LCM of 506,616,968,759,865 with Prime Factorization

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

2 x 2 x 2 x 11 x 23 x 1 x 7 x 11 x 3 x 865 = 404425560

Therefore, the lowest common multiple of 506,616,968,759,865 is 404425560.

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.

506 x 616 x 968 x 759 x 865 = 198090874692480

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

759 : 1, 3, 11, 23, 33, 69, 253, 759

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,616,968,759,865, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

616:2x 2x 2x 7x 11

968:2x 2x 2x 11x 11

759:3x 11x 23

865:5x 173

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 11x 11x 11x 23 = 489808

Therefore, the value for common factors is 489808.

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 = 198090874692480/(1x489808)

LCM = 198090874692480/489808

LCM = 404425560

Thus, we can understand that the LCM of 506,616,968,759,865 is 404425560.

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

• LCM of 814, 113, 830, 704, 602
• LCM of 165, 263, 651, 819, 508
• LCM of 557, 285, 918, 906, 446
• LCM of 171, 351, 620, 795, 139
• LCM of 333, 142, 230, 906, 288

1. What is the LCM of 506, 616, 968, 759, 865?

Answer: LCM of 506, 616, 968, 759, 865 is 404425560.

2. How to calculate the LCM of 506, 616, 968, 759, 865?

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 506, 616, 968, 759, 865.

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}.