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LCM of 120, 185, 308, 587

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 120, 185, 308, 587 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 120, 185, 308, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 120,185,308,587

Given numbers are 120,185,308,587

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

The LCM of 120,185,308,587 is 200683560.

Find LCM of 120,185,308,587 with Prime Factorization


2 120, 185, 308, 587
2 60, 185, 154, 587
5 30, 185, 77, 587
6, 37, 77, 587

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

2 x 2 x 5 x 6 x 37 x 77 x 587 = 200683560

Therefore, the lowest common multiple of 120,185,308,587 is 200683560.

LCM Formula to Find Lowest Common Multiple of 120,185,308,587

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.

120 x 185 x 308 x 587 = 4013671200

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

185 : 1, 5, 37, 185

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,185,308,587, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

185:5x 37

308:2x 2x 7x 11

587:587

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 5 = 20

Therefore, the value for common factors is 20.

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 = 4013671200/(1x20)

LCM = 4013671200/20

LCM = 200683560

Thus, we can understand that the LCM of 120,185,308,587 is 200683560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 120, 185, 308, 587

1. What is the LCM of 120, 185, 308, 587?

Answer: LCM of 120, 185, 308, 587 is 200683560.

2. How to calculate the LCM of 120, 185, 308, 587?

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 120, 185, 308, 587.

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}.