Given numbers are 151,251,278,302,960

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

The LCM of 151,251,278,302,960 is 5057509440.

Find LCM of 151,251,278,302,960 with Prime Factorization

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

2 x 151 x 1 x 251 x 139 x 1 x 480 = 5057509440

Therefore, the lowest common multiple of 151,251,278,302,960 is 5057509440.

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.

151 x 251 x 278 x 302 x 960 = 3054735701760

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.

151 : 1, 151

251 : 1, 251

278 : 1, 2, 139, 278

302 : 1, 2, 151, 302

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,251,278,302,960, is 1.

Now, the common factors can be found like this.

151:151

251:251

278:2x 139

302:2x 151

960:2x 2x 2x 2x 2x 2x 3x 5

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 151 = 604

Therefore, the value for common factors is 604.

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 = 3054735701760/(1x604)

LCM = 3054735701760/604

LCM = 5057509440

Thus, we can understand that the LCM of 151,251,278,302,960 is 5057509440.

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

• LCM of 981, 644, 129, 550, 575
• LCM of 687, 738, 406, 920, 946
• LCM of 129, 989, 646, 217, 238
• LCM of 404, 665, 572, 104, 135
• LCM of 891, 949, 928, 896, 955

1. What is the LCM of 151, 251, 278, 302, 960?

Answer: LCM of 151, 251, 278, 302, 960 is 5057509440.

2. How to calculate the LCM of 151, 251, 278, 302, 960?

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 151, 251, 278, 302, 960.

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}.