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LCM of 988, 818, 910, 652

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


Find the LCM of 988, 818, 910, 652 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 988, 818, 910, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,818,910,652

Given numbers are 988,818,910,652

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

The LCM of 988,818,910,652 is 2305344860.

Find LCM of 988,818,910,652 with Prime Factorization


2 988, 818, 910, 652
2 494, 409, 455, 326
13 247, 409, 455, 163
19, 409, 35, 163

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

2 x 2 x 13 x 19 x 409 x 35 x 163 = 2305344860

Therefore, the lowest common multiple of 988,818,910,652 is 2305344860.

LCM Formula to Find Lowest Common Multiple of 988,818,910,652

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.

988 x 818 x 910 x 652 = 479511730880

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

818 : 1, 2, 409, 818

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

652 : 1, 2, 4, 163, 326, 652

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,818,910,652, is 2.

Now, the common factors can be found like this.

988:2x 2x 13x 19

818:2x 409

910:2x 5x 7x 13

652:2x 2x 163

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 13 = 104

Therefore, the value for common factors is 104.

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 = 479511730880/(2x104)

LCM = 479511730880/208

LCM = 2305344860

Thus, we can understand that the LCM of 988,818,910,652 is 2305344860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 818, 910, 652

1. What is the LCM of 988, 818, 910, 652?

Answer: LCM of 988, 818, 910, 652 is 2305344860.

2. How to calculate the LCM of 988, 818, 910, 652?

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 988, 818, 910, 652.

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}.