Given numbers are 705,821,696

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

The LCM of 705,821,696 is 134282760.

Find LCM of 705,821,696 with Prime Factorization

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

3 x 235 x 821 x 232 = 134282760

Therefore, the lowest common multiple of 705,821,696 is 134282760.

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.

705 x 821 x 696 = 402848280

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

821 : 1, 821

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,821,696, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

821:821

696:2x 2x 2x 3x 29

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 = 402848280/(1x3)

LCM = 402848280/3

LCM = 134282760

Thus, we can understand that the LCM of 705,821,696 is 134282760.

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

• LCM of 834, 161, 451
• LCM of 857, 303, 597
• LCM of 721, 747, 857
• LCM of 423, 984, 389
• LCM of 315, 204, 555

1. What is the LCM of 705, 821, 696?

Answer: LCM of 705, 821, 696 is 134282760.

2. How to calculate the LCM of 705, 821, 696?

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 705, 821, 696.

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}.