Given numbers are 948,308,956,176,278

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

The LCM of 948,308,956,176,278 is 9700000464.

Find LCM of 948,308,956,176,278 with Prime Factorization

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

2 x 2 x 11 x 237 x 7 x 239 x 4 x 139 = 9700000464

Therefore, the lowest common multiple of 948,308,956,176,278 is 9700000464.

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.

948 x 308 x 956 x 176 x 278 = 13657600653312

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

956 : 1, 2, 4, 239, 478, 956

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

278 : 1, 2, 139, 278

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,308,956,176,278, is 2.

Now, the common factors can be found like this.

948:2x 2x 3x 79

308:2x 2x 7x 11

956:2x 2x 239

176:2x 2x 2x 2x 11

278:2x 139

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 2x 2x 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 13657600653312/(2x704)

LCM = 13657600653312/1408

LCM = 9700000464

Thus, we can understand that the LCM of 948,308,956,176,278 is 9700000464.

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

• LCM of 663, 207, 576, 930, 778
• LCM of 927, 501, 196, 706, 528
• LCM of 302, 622, 656, 547, 333
• LCM of 859, 932, 162, 714, 797
• LCM of 996, 607, 301, 575, 185

1. What is the LCM of 948, 308, 956, 176, 278?

Answer: LCM of 948, 308, 956, 176, 278 is 9700000464.

2. How to calculate the LCM of 948, 308, 956, 176, 278?

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 948, 308, 956, 176, 278.

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}.