Given numbers are 705,540,690,858

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

The LCM of 705,540,690,858 is 83474820.

Find LCM of 705,540,690,858 with Prime Factorization

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

2 x 3 x 5 x 47 x 18 x 23 x 143 = 83474820

Therefore, the lowest common multiple of 705,540,690,858 is 83474820.

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 540 x 690 x 858 = 225382014000

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,540,690,858, is 3.

Now, the common factors can be found like this.

705:3x 5x 47

540:2x 2x 3x 3x 3x 5

690:2x 3x 5x 23

858:2x 3x 11x 13

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 225382014000/(3x900)

LCM = 225382014000/2700

LCM = 83474820

Thus, we can understand that the LCM of 705,540,690,858 is 83474820.

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

• LCM of 748, 921, 481, 258
• LCM of 771, 271, 674, 847
• LCM of 296, 788, 472, 387
• LCM of 357, 739, 369, 932
• LCM of 373, 670, 843, 270

1. What is the LCM of 705, 540, 690, 858?

Answer: LCM of 705, 540, 690, 858 is 83474820.

2. How to calculate the LCM of 705, 540, 690, 858?

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, 540, 690, 858.

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}.