Given numbers are 948,360,183,471,828

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

The LCM of 948,360,183,471,828 is 6264507240.

Find LCM of 948,360,183,471,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 79 x 10 x 61 x 157 x 23 = 6264507240

Therefore, the lowest common multiple of 948,360,183,471,828 is 6264507240.

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 360 x 183 x 471 x 828 = 24356404149120

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

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

183 : 1, 3, 61, 183

471 : 1, 3, 157, 471

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,360,183,471,828, is 3.

Now, the common factors can be found like this.

948:2x 2x 3x 79

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

183:3x 61

471:3x 157

828:2x 2x 3x 3x 23

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 24356404149120/(3x1296)

LCM = 24356404149120/3888

LCM = 6264507240

Thus, we can understand that the LCM of 948,360,183,471,828 is 6264507240.

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

• LCM of 876, 254, 941, 719, 417
• LCM of 176, 196, 121, 817, 890
• LCM of 963, 369, 495, 366, 337
• LCM of 760, 509, 401, 682, 788
• LCM of 495, 777, 448, 865, 141

1. What is the LCM of 948, 360, 183, 471, 828?

Answer: LCM of 948, 360, 183, 471, 828 is 6264507240.

2. How to calculate the LCM of 948, 360, 183, 471, 828?

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, 360, 183, 471, 828.

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}.