Given numbers are 829,714,879

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

The LCM of 829,714,879 is 173428458.

Find LCM of 829,714,879 with Prime Factorization

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

3 x 829 x 238 x 293 = 173428458

Therefore, the lowest common multiple of 829,714,879 is 173428458.

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.

829 x 714 x 879 = 520285374

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.

829 : 1, 829

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,714,879, is 1.

Now, the common factors can be found like this.

829:829

714:2x 3x 7x 17

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 520285374/(1x3)

LCM = 520285374/3

LCM = 173428458

Thus, we can understand that the LCM of 829,714,879 is 173428458.

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

• LCM of 249, 240, 861
• LCM of 297, 761, 105
• LCM of 910, 359, 799
• LCM of 592, 670, 588
• LCM of 584, 181, 791

1. What is the LCM of 829, 714, 879?

Answer: LCM of 829, 714, 879 is 173428458.

2. How to calculate the LCM of 829, 714, 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 829, 714, 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}.