Given numbers are 948,583,176,142,946

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

The LCM of 948,583,176,142,946 is 6749377008.

Find LCM of 948,583,176,142,946 with Prime Factorization

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

2 x 2 x 11 x 237 x 53 x 4 x 71 x 43 = 6749377008

Therefore, the lowest common multiple of 948,583,176,142,946 is 6749377008.

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 583 x 176 x 142 x 946 = 13066793887488

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

583 : 1, 11, 53, 583

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

142 : 1, 2, 71, 142

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,583,176,142,946, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

583:11x 53

176:2x 2x 2x 2x 11

142:2x 71

946:2x 11x 43

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 11x 11 = 1936

Therefore, the value for common factors is 1936.

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 = 13066793887488/(1x1936)

LCM = 13066793887488/1936

LCM = 6749377008

Thus, we can understand that the LCM of 948,583,176,142,946 is 6749377008.

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

• LCM of 874, 473, 630, 693, 711
• LCM of 633, 784, 630, 500, 606
• LCM of 149, 423, 733, 603, 500
• LCM of 805, 224, 611, 858, 142
• LCM of 545, 824, 289, 456, 142

1. What is the LCM of 948, 583, 176, 142, 946?

Answer: LCM of 948, 583, 176, 142, 946 is 6749377008.

2. How to calculate the LCM of 948, 583, 176, 142, 946?

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, 583, 176, 142, 946.

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}.