Given numbers are 278,206,533,678

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

The LCM of 278,206,533,678 is 5173791558.

Find LCM of 278,206,533,678 with Prime Factorization

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

2 x 139 x 103 x 533 x 339 = 5173791558

Therefore, the lowest common multiple of 278,206,533,678 is 5173791558.

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 206 x 533 x 678 = 20695166232

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

206 : 1, 2, 103, 206

533 : 1, 13, 41, 533

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,206,533,678, is 1.

Now, the common factors can be found like this.

278:2x 139

206:2x 103

533:13x 41

678:2x 3x 113

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 20695166232/(1x4)

LCM = 20695166232/4

LCM = 5173791558

Thus, we can understand that the LCM of 278,206,533,678 is 5173791558.

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

• LCM of 689, 937, 228, 944
• LCM of 865, 967, 116, 881
• LCM of 614, 853, 933, 208
• LCM of 119, 785, 749, 457
• LCM of 588, 116, 841, 813

1. What is the LCM of 278, 206, 533, 678?

Answer: LCM of 278, 206, 533, 678 is 5173791558.

2. How to calculate the LCM of 278, 206, 533, 678?

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, 206, 533, 678.

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}.