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LCM of 645, 865, 136, 880

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


Find the LCM of 645, 865, 136, 880 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 645, 865, 136, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 645,865,136,880

Given numbers are 645,865,136,880

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

The LCM of 645,865,136,880 is 333862320.

Find LCM of 645,865,136,880 with Prime Factorization


2 645, 865, 136, 880
2 645, 865, 68, 440
2 645, 865, 34, 220
5 645, 865, 17, 110
129, 173, 17, 22

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

2 x 2 x 2 x 5 x 129 x 173 x 17 x 22 = 333862320

Therefore, the lowest common multiple of 645,865,136,880 is 333862320.

LCM Formula to Find Lowest Common Multiple of 645,865,136,880

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.

645 x 865 x 136 x 880 = 66772464000

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

865 : 1, 5, 173, 865

136 : 1, 2, 4, 8, 17, 34, 68, 136

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,865,136,880, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

865:5x 173

136:2x 2x 2x 17

880:2x 2x 2x 2x 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 2x 2x 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 66772464000/(1x200)

LCM = 66772464000/200

LCM = 333862320

Thus, we can understand that the LCM of 645,865,136,880 is 333862320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 645, 865, 136, 880

1. What is the LCM of 645, 865, 136, 880?

Answer: LCM of 645, 865, 136, 880 is 333862320.

2. How to calculate the LCM of 645, 865, 136, 880?

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 645, 865, 136, 880.

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}.