Given numbers are 798,756,696,749,278

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

The LCM of 798,756,696,749,278 is 12390874776.

Find LCM of 798,756,696,749,278 with Prime Factorization

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

2 x 2 x 3 x 7 x 19 x 9 x 58 x 107 x 139 = 12390874776

Therefore, the lowest common multiple of 798,756,696,749,278 is 12390874776.

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.

798 x 756 x 696 x 749 x 278 = 87430012419456

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

749 : 1, 7, 107, 749

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,756,696,749,278, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

756:2x 2x 3x 3x 3x 7

696:2x 2x 2x 3x 29

749:7x 107

278:2x 139

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 3x 3x 7x 7 = 7056

Therefore, the value for common factors is 7056.

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 = 87430012419456/(1x7056)

LCM = 87430012419456/7056

LCM = 12390874776

Thus, we can understand that the LCM of 798,756,696,749,278 is 12390874776.

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

• LCM of 383, 601, 312, 559, 737
• LCM of 157, 842, 385, 602, 464
• LCM of 806, 144, 557, 888, 734
• LCM of 846, 143, 746, 742, 947
• LCM of 370, 246, 353, 427, 492

1. What is the LCM of 798, 756, 696, 749, 278?

Answer: LCM of 798, 756, 696, 749, 278 is 12390874776.

2. How to calculate the LCM of 798, 756, 696, 749, 278?

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 798, 756, 696, 749, 278.

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}.