Given numbers are 690,950,334,216,230

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

The LCM of 690,950,334,216,230 is 394086600.

Find LCM of 690,950,334,216,230 with Prime Factorization

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

2 x 3 x 5 x 23 x 1 x 95 x 167 x 36 x 1 = 394086600

Therefore, the lowest common multiple of 690,950,334,216,230 is 394086600.

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.

690 x 950 x 334 x 216 x 230 = 10876790160000

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.

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

334 : 1, 2, 167, 334

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

230 : 1, 2, 5, 10, 23, 46, 115, 230

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,950,334,216,230, is 2.

Now, the common factors can be found like this.

690:2x 3x 5x 23

950:2x 5x 5x 19

334:2x 167

216:2x 2x 2x 3x 3x 3

230:2x 5x 23

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 3x 5x 5x 23 = 13800

Therefore, the value for common factors is 13800.

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 = 10876790160000/(2x13800)

LCM = 10876790160000/27600

LCM = 394086600

Thus, we can understand that the LCM of 690,950,334,216,230 is 394086600.

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

• LCM of 535, 270, 992, 366, 436
• LCM of 169, 854, 523, 505, 810
• LCM of 403, 872, 787, 703, 124
• LCM of 347, 641, 166, 431, 433
• LCM of 848, 299, 424, 129, 763

1. What is the LCM of 690, 950, 334, 216, 230?

Answer: LCM of 690, 950, 334, 216, 230 is 394086600.

2. How to calculate the LCM of 690, 950, 334, 216, 230?

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 690, 950, 334, 216, 230.

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}.