Given numbers are 678,688,278,866,763

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

The LCM of 678,688,278,866,763 is 10710638734992.

Find LCM of 678,688,278,866,763 with Prime Factorization

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

2 x 339 x 344 x 139 x 433 x 763 = 10710638734992

Therefore, the lowest common multiple of 678,688,278,866,763 is 10710638734992.

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.

678 x 688 x 278 x 866 x 763 = 85685109879936

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

278 : 1, 2, 139, 278

866 : 1, 2, 433, 866

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,688,278,866,763, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

688:2x 2x 2x 2x 43

278:2x 139

866:2x 433

763:7x 109

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 2 = 8

Therefore, the value for common factors is 8.

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 = 85685109879936/(1x8)

LCM = 85685109879936/8

LCM = 10710638734992

Thus, we can understand that the LCM of 678,688,278,866,763 is 10710638734992.

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

• LCM of 190, 714, 696, 834, 531
• LCM of 290, 674, 244, 871, 741
• LCM of 370, 399, 716, 645, 269
• LCM of 337, 256, 474, 746, 734
• LCM of 786, 272, 414, 471, 444

1. What is the LCM of 678, 688, 278, 866, 763?

Answer: LCM of 678, 688, 278, 866, 763 is 10710638734992.

2. How to calculate the LCM of 678, 688, 278, 866, 763?

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 678, 688, 278, 866, 763.

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}.