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LCM of 588, 847, 990

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


Find the LCM of 588, 847, 990 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 588, 847, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 588,847,990

Given numbers are 588,847,990

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

The LCM of 588,847,990 is 1067220.

Find LCM of 588,847,990 with Prime Factorization


2 588, 847, 990
3 294, 847, 495
7 98, 847, 165
11 14, 121, 165
14, 11, 15

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

2 x 3 x 7 x 11 x 14 x 11 x 15 = 1067220

Therefore, the lowest common multiple of 588,847,990 is 1067220.

LCM Formula to Find Lowest Common Multiple of 588,847,990

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.

588 x 847 x 990 = 493055640

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

847 : 1, 7, 11, 77, 121, 847

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,847,990, is 1.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

847:7x 11x 11

990:2x 3x 3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 7x 11 = 462

Therefore, the value for common factors is 462.

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 = 493055640/(1x462)

LCM = 493055640/462

LCM = 1067220

Thus, we can understand that the LCM of 588,847,990 is 1067220.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 588, 847, 990

1. What is the LCM of 588, 847, 990?

Answer: LCM of 588, 847, 990 is 1067220.

2. How to calculate the LCM of 588, 847, 990?

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 588, 847, 990.

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}.