Given numbers are 429,54,708,823

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

The LCM of 429,54,708,823 is 749914308.

Find LCM of 429,54,708,823 with Prime Factorization

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

2 x 3 x 143 x 9 x 118 x 823 = 749914308

Therefore, the lowest common multiple of 429,54,708,823 is 749914308.

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.

429 x 54 x 708 x 823 = 13498457544

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

54 : 1, 2, 3, 6, 9, 18, 27, 54

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

823 : 1, 823

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,54,708,823, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

54:2x 3x 3x 3

708:2x 2x 3x 59

823:823

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 13498457544/(1x18)

LCM = 13498457544/18

LCM = 749914308

Thus, we can understand that the LCM of 429,54,708,823 is 749914308.

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

• LCM of 675, 30, 564, 115
• LCM of 327, 38, 815, 271
• LCM of 713, 58, 497, 699
• LCM of 543, 24, 713, 793
• LCM of 111, 90, 984, 538

1. What is the LCM of 429, 54, 708, 823?

Answer: LCM of 429, 54, 708, 823 is 749914308.

2. How to calculate the LCM of 429, 54, 708, 823?

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 429, 54, 708, 823.

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}.