Given numbers are 278,410,886,742

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

The LCM of 278,410,886,742 is 9366477470.

Find LCM of 278,410,886,742 with Prime Factorization

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

2 x 139 x 205 x 443 x 371 = 9366477470

Therefore, the lowest common multiple of 278,410,886,742 is 9366477470.

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 410 x 886 x 742 = 74931819760

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

886 : 1, 2, 443, 886

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,410,886,742, is 2.

Now, the common factors can be found like this.

278:2x 139

410:2x 5x 41

886:2x 443

742:2x 7x 53

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 = 74931819760/(2x4)

LCM = 74931819760/8

LCM = 9366477470

Thus, we can understand that the LCM of 278,410,886,742 is 9366477470.

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

• LCM of 960, 726, 245, 273
• LCM of 148, 831, 447, 744
• LCM of 785, 661, 534, 738
• LCM of 169, 842, 625, 221
• LCM of 529, 636, 821, 874

1. What is the LCM of 278, 410, 886, 742?

Answer: LCM of 278, 410, 886, 742 is 9366477470.

2. How to calculate the LCM of 278, 410, 886, 742?

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, 410, 886, 742.

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}.