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LCM of 640, 897, 300, 226

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


Find the LCM of 640, 897, 300, 226 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 640, 897, 300, 226. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 640,897,300,226

Given numbers are 640,897,300,226

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

The LCM of 640,897,300,226 is 324355200.

Find LCM of 640,897,300,226 with Prime Factorization


2 640, 897, 300, 226
2 320, 897, 150, 113
3 160, 897, 75, 113
5 160, 299, 25, 113
32, 299, 5, 113

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

2 x 2 x 3 x 5 x 32 x 299 x 5 x 113 = 324355200

Therefore, the lowest common multiple of 640,897,300,226 is 324355200.

LCM Formula to Find Lowest Common Multiple of 640,897,300,226

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.

640 x 897 x 300 x 226 = 38922624000

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.

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

897 : 1, 3, 13, 23, 39, 69, 299, 897

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,897,300,226, is 1.

Now, the common factors can be found like this.

640:2x 2x 2x 2x 2x 2x 2x 5

897:3x 13x 23

300:2x 2x 3x 5x 5

226:2x 113

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 5 = 120

Therefore, the value for common factors is 120.

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 = 38922624000/(1x120)

LCM = 38922624000/120

LCM = 324355200

Thus, we can understand that the LCM of 640,897,300,226 is 324355200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 640, 897, 300, 226

1. What is the LCM of 640, 897, 300, 226?

Answer: LCM of 640, 897, 300, 226 is 324355200.

2. How to calculate the LCM of 640, 897, 300, 226?

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 640, 897, 300, 226.

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}.