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LCM of 589, 228, 144, 988

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


Find the LCM of 589, 228, 144, 988 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 589, 228, 144, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,228,144,988

Given numbers are 589,228,144,988

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

The LCM of 589,228,144,988 is 1102608.

Find LCM of 589,228,144,988 with Prime Factorization


2 589, 228, 144, 988
2 589, 114, 72, 494
3 589, 57, 36, 247
19 589, 19, 12, 247
31, 1, 12, 13

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

2 x 2 x 3 x 19 x 31 x 1 x 12 x 13 = 1102608

Therefore, the lowest common multiple of 589,228,144,988 is 1102608.

LCM Formula to Find Lowest Common Multiple of 589,228,144,988

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.

589 x 228 x 144 x 988 = 19105991424

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.

589 : 1, 19, 31, 589

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,228,144,988, is 1.

Now, the common factors can be found like this.

589:19x 31

228:2x 2x 3x 19

144:2x 2x 2x 2x 3x 3

988:2x 2x 13x 19

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 2x 3x 19x 19 = 17328

Therefore, the value for common factors is 17328.

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 = 19105991424/(1x17328)

LCM = 19105991424/17328

LCM = 1102608

Thus, we can understand that the LCM of 589,228,144,988 is 1102608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 228, 144, 988

1. What is the LCM of 589, 228, 144, 988?

Answer: LCM of 589, 228, 144, 988 is 1102608.

2. How to calculate the LCM of 589, 228, 144, 988?

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 589, 228, 144, 988.

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}.