Given numbers are 290,860,540,107

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

The LCM of 290,860,540,107 is 72051660.

Find LCM of 290,860,540,107 with Prime Factorization

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

2 x 2 x 5 x 29 x 43 x 27 x 107 = 72051660

Therefore, the lowest common multiple of 290,860,540,107 is 72051660.

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.

290 x 860 x 540 x 107 = 14410332000

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,860,540,107, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

860:2x 2x 5x 43

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

107:107

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 14410332000/(1x200)

LCM = 14410332000/200

LCM = 72051660

Thus, we can understand that the LCM of 290,860,540,107 is 72051660.

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

• LCM of 174, 445, 425, 900
• LCM of 823, 196, 391, 859
• LCM of 900, 205, 392, 741
• LCM of 337, 794, 517, 357
• LCM of 859, 155, 154, 300

1. What is the LCM of 290, 860, 540, 107?

Answer: LCM of 290, 860, 540, 107 is 72051660.

2. How to calculate the LCM of 290, 860, 540, 107?

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 290, 860, 540, 107.

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}.