Given numbers are 278,674,684,919

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

The LCM of 278,674,684,919 is 29445322428.

Find LCM of 278,674,684,919 with Prime Factorization

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

2 x 139 x 337 x 342 x 919 = 29445322428

Therefore, the lowest common multiple of 278,674,684,919 is 29445322428.

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 674 x 684 x 919 = 117781289712

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

674 : 1, 2, 337, 674

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,674,684,919, is 1.

Now, the common factors can be found like this.

278:2x 139

674:2x 337

684:2x 2x 3x 3x 19

919:919

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 = 117781289712/(1x4)

LCM = 117781289712/4

LCM = 29445322428

Thus, we can understand that the LCM of 278,674,684,919 is 29445322428.

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

• LCM of 438, 876, 573, 107
• LCM of 638, 421, 801, 361
• LCM of 207, 932, 913, 912
• LCM of 614, 316, 925, 469
• LCM of 641, 201, 847, 701

1. What is the LCM of 278, 674, 684, 919?

Answer: LCM of 278, 674, 684, 919 is 29445322428.

2. How to calculate the LCM of 278, 674, 684, 919?

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, 674, 684, 919.

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}.