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LCM of 110, 609, 901, 660

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


Find the LCM of 110, 609, 901, 660 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 110, 609, 901, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 110,609,901,660

Given numbers are 110,609,901,660

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

The LCM of 110,609,901,660 is 120715980.

Find LCM of 110,609,901,660 with Prime Factorization


2 110, 609, 901, 660
3 55, 609, 901, 330
5 55, 203, 901, 110
11 11, 203, 901, 22
1, 203, 901, 2

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

2 x 3 x 5 x 11 x 1 x 203 x 901 x 2 = 120715980

Therefore, the lowest common multiple of 110,609,901,660 is 120715980.

LCM Formula to Find Lowest Common Multiple of 110,609,901,660

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.

110 x 609 x 901 x 660 = 39836273400

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

609 : 1, 3, 7, 21, 29, 87, 203, 609

901 : 1, 17, 53, 901

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,609,901,660, is 1.

Now, the common factors can be found like this.

110:2x 5x 11

609:3x 7x 29

901:17x 53

660:2x 2x 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 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 39836273400/(1x330)

LCM = 39836273400/330

LCM = 120715980

Thus, we can understand that the LCM of 110,609,901,660 is 120715980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 110, 609, 901, 660

1. What is the LCM of 110, 609, 901, 660?

Answer: LCM of 110, 609, 901, 660 is 120715980.

2. How to calculate the LCM of 110, 609, 901, 660?

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 110, 609, 901, 660.

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}.