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LCM of 654, 752, 489, 668

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


Find the LCM of 654, 752, 489, 668 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 654, 752, 489, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,752,489,668

Given numbers are 654,752,489,668

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

The LCM of 654,752,489,668 is 6693752784.

Find LCM of 654,752,489,668 with Prime Factorization


2 654, 752, 489, 668
2 327, 376, 489, 334
3 327, 188, 489, 167
109, 188, 163, 167

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

2 x 2 x 3 x 109 x 188 x 163 x 167 = 6693752784

Therefore, the lowest common multiple of 654,752,489,668 is 6693752784.

LCM Formula to Find Lowest Common Multiple of 654,752,489,668

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.

654 x 752 x 489 x 668 = 160650066816

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.

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

489 : 1, 3, 163, 489

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,752,489,668, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

752:2x 2x 2x 2x 47

489:3x 163

668:2x 2x 167

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 3 = 24

Therefore, the value for common factors is 24.

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 = 160650066816/(1x24)

LCM = 160650066816/24

LCM = 6693752784

Thus, we can understand that the LCM of 654,752,489,668 is 6693752784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 752, 489, 668

1. What is the LCM of 654, 752, 489, 668?

Answer: LCM of 654, 752, 489, 668 is 6693752784.

2. How to calculate the LCM of 654, 752, 489, 668?

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 654, 752, 489, 668.

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}.