Given numbers are 278,360,388,166

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

The LCM of 278,360,388,166 is 402872040.

Find LCM of 278,360,388,166 with Prime Factorization

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

2 x 2 x 139 x 90 x 97 x 83 = 402872040

Therefore, the lowest common multiple of 278,360,388,166 is 402872040.

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 360 x 388 x 166 = 6445952640

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

388 : 1, 2, 4, 97, 194, 388

166 : 1, 2, 83, 166

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,360,388,166, is 2.

Now, the common factors can be found like this.

278:2x 139

360:2x 2x 2x 3x 3x 5

388:2x 2x 97

166:2x 83

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6445952640/(2x8)

LCM = 6445952640/16

LCM = 402872040

Thus, we can understand that the LCM of 278,360,388,166 is 402872040.

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

• LCM of 859, 965, 299, 725
• LCM of 566, 171, 991, 371
• LCM of 958, 595, 109, 280
• LCM of 547, 483, 996, 941
• LCM of 955, 908, 413, 186

1. What is the LCM of 278, 360, 388, 166?

Answer: LCM of 278, 360, 388, 166 is 402872040.

2. How to calculate the LCM of 278, 360, 388, 166?

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, 360, 388, 166.

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}.