Given numbers are 278,354,489,276

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

The LCM of 278,354,489,276 is 368946588.

Find LCM of 278,354,489,276 with Prime Factorization

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

2 x 3 x 139 x 59 x 163 x 46 = 368946588

Therefore, the lowest common multiple of 278,354,489,276 is 368946588.

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 354 x 489 x 276 = 13282077168

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

489 : 1, 3, 163, 489

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,354,489,276, is 1.

Now, the common factors can be found like this.

278:2x 139

354:2x 3x 59

489:3x 163

276:2x 2x 3x 23

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 13282077168/(1x36)

LCM = 13282077168/36

LCM = 368946588

Thus, we can understand that the LCM of 278,354,489,276 is 368946588.

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

• LCM of 831, 767, 920, 908
• LCM of 679, 496, 404, 506
• LCM of 738, 456, 589, 424
• LCM of 368, 865, 181, 418
• LCM of 458, 744, 356, 435

1. What is the LCM of 278, 354, 489, 276?

Answer: LCM of 278, 354, 489, 276 is 368946588.

2. How to calculate the LCM of 278, 354, 489, 276?

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, 354, 489, 276.

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}.