Given numbers are 208,278,505,313

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

The LCM of 208,278,505,313 is 4569975280.

Find LCM of 208,278,505,313 with Prime Factorization

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

2 x 104 x 139 x 505 x 313 = 4569975280

Therefore, the lowest common multiple of 208,278,505,313 is 4569975280.

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.

208 x 278 x 505 x 313 = 9139950560

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

278 : 1, 2, 139, 278

505 : 1, 5, 101, 505

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,278,505,313, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

278:2x 139

505:5x 101

313:313

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

2 = 2

Therefore, the value for common factors is 2.

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 = 9139950560/(1x2)

LCM = 9139950560/2

LCM = 4569975280

Thus, we can understand that the LCM of 208,278,505,313 is 4569975280.

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

• LCM of 971, 645, 310, 378
• LCM of 984, 627, 553, 432
• LCM of 163, 411, 856, 121
• LCM of 748, 887, 654, 786
• LCM of 303, 188, 484, 308

1. What is the LCM of 208, 278, 505, 313?

Answer: LCM of 208, 278, 505, 313 is 4569975280.

2. How to calculate the LCM of 208, 278, 505, 313?

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 208, 278, 505, 313.

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}.