Given numbers are 261,472,120,258,879

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

The LCM of 261,472,120,258,879 is 7760480040.

Find LCM of 261,472,120,258,879 with Prime Factorization

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

2 x 2 x 2 x 3 x 87 x 59 x 5 x 43 x 293 = 7760480040

Therefore, the lowest common multiple of 261,472,120,258,879 is 7760480040.

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.

261 x 472 x 120 x 258 x 879 = 3352527377280

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.

261 : 1, 3, 9, 29, 87, 261

472 : 1, 2, 4, 8, 59, 118, 236, 472

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

258 : 1, 2, 3, 6, 43, 86, 129, 258

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,472,120,258,879, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

472:2x 2x 2x 59

120:2x 2x 2x 3x 5

258:2x 3x 43

879:3x 293

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 3 = 432

Therefore, the value for common factors is 432.

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 = 3352527377280/(1x432)

LCM = 3352527377280/432

LCM = 7760480040

Thus, we can understand that the LCM of 261,472,120,258,879 is 7760480040.

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

• LCM of 983, 683, 862, 325, 856
• LCM of 864, 450, 862, 690, 802
• LCM of 215, 285, 672, 716, 876
• LCM of 397, 701, 185, 800, 815
• LCM of 756, 457, 633, 146, 965

1. What is the LCM of 261, 472, 120, 258, 879?

Answer: LCM of 261, 472, 120, 258, 879 is 7760480040.

2. How to calculate the LCM of 261, 472, 120, 258, 879?

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 261, 472, 120, 258, 879.

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}.