Given numbers are 278,984,646,508,652

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

The LCM of 278,984,646,508,652 is 914542192248.

Find LCM of 278,984,646,508,652 with Prime Factorization

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

2 x 2 x 139 x 246 x 323 x 127 x 163 = 914542192248

Therefore, the lowest common multiple of 278,984,646,508,652 is 914542192248.

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.

278 x 984 x 646 x 508 x 652 = 58530700303872

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.

278 : 1, 2, 139, 278

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

646 : 1, 2, 17, 19, 34, 38, 323, 646

508 : 1, 2, 4, 127, 254, 508

652 : 1, 2, 4, 163, 326, 652

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,984,646,508,652, is 2.

Now, the common factors can be found like this.

278:2x 139

984:2x 2x 2x 3x 41

646:2x 17x 19

508:2x 2x 127

652:2x 2x 163

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 2 = 32

Therefore, the value for common factors is 32.

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 = 58530700303872/(2x32)

LCM = 58530700303872/64

LCM = 914542192248

Thus, we can understand that the LCM of 278,984,646,508,652 is 914542192248.

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

• LCM of 800, 816, 194, 818, 872
• LCM of 581, 614, 648, 742, 814
• LCM of 700, 757, 881, 732, 133
• LCM of 940, 620, 167, 133, 642
• LCM of 530, 796, 981, 881, 541

1. What is the LCM of 278, 984, 646, 508, 652?

Answer: LCM of 278, 984, 646, 508, 652 is 914542192248.

2. How to calculate the LCM of 278, 984, 646, 508, 652?

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 278, 984, 646, 508, 652.

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}.