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LCM of 988, 969, 228, 654, 667

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


Find the LCM of 988, 969, 228, 654, 667 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, 969, 228, 654, 667. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,969,228,654,667

Given numbers are 988,969,228,654,667

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

The LCM of 988,969,228,654,667 is 3663358764.

Find LCM of 988,969,228,654,667 with Prime Factorization


2 988, 969, 228, 654, 667
2 494, 969, 114, 327, 667
3 247, 969, 57, 327, 667
19 247, 323, 19, 109, 667
13, 17, 1, 109, 667

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

2 x 2 x 3 x 19 x 13 x 17 x 1 x 109 x 667 = 3663358764

Therefore, the lowest common multiple of 988,969,228,654,667 is 3663358764.

LCM Formula to Find Lowest Common Multiple of 988,969,228,654,667

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 969 x 228 x 654 x 667 = 95218020993888

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

667 : 1, 23, 29, 667

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,969,228,654,667, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

969:3x 17x 19

228:2x 2x 3x 19

654:2x 3x 109

667:23x 29

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 3x 3x 19x 19 = 25992

Therefore, the value for common factors is 25992.

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 = 95218020993888/(1x25992)

LCM = 95218020993888/25992

LCM = 3663358764

Thus, we can understand that the LCM of 988,969,228,654,667 is 3663358764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 969, 228, 654, 667

1. What is the LCM of 988, 969, 228, 654, 667?

Answer: LCM of 988, 969, 228, 654, 667 is 3663358764.

2. How to calculate the LCM of 988, 969, 228, 654, 667?

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, 969, 228, 654, 667.

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}.