Given numbers are 278,337,249,578

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

The LCM of 278,337,249,578 is 6741738246.

Find LCM of 278,337,249,578 with Prime Factorization

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

2 x 139 x 337 x 249 x 289 = 6741738246

Therefore, the lowest common multiple of 278,337,249,578 is 6741738246.

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 337 x 249 x 578 = 13483476492

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

337 : 1, 337

249 : 1, 3, 83, 249

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,337,249,578, is 1.

Now, the common factors can be found like this.

278:2x 139

337:337

249:3x 83

578:2x 17x 17

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 = 13483476492/(1x2)

LCM = 13483476492/2

LCM = 6741738246

Thus, we can understand that the LCM of 278,337,249,578 is 6741738246.

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

• LCM of 939, 224, 833, 667
• LCM of 898, 725, 310, 276
• LCM of 885, 529, 882, 116
• LCM of 851, 687, 122, 525
• LCM of 384, 179, 119, 210

1. What is the LCM of 278, 337, 249, 578?

Answer: LCM of 278, 337, 249, 578 is 6741738246.

2. How to calculate the LCM of 278, 337, 249, 578?

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, 337, 249, 578.

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}.