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LCM of 844, 908, 192, 600, 436

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


Find the LCM of 844, 908, 192, 600, 436 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 844, 908, 192, 600, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,908,192,600,436

Given numbers are 844,908,192,600,436

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

The LCM of 844,908,192,600,436 is 25059710400.

Find LCM of 844,908,192,600,436 with Prime Factorization


2 844, 908, 192, 600, 436
2 422, 454, 96, 300, 218
2 211, 227, 48, 150, 109
3 211, 227, 24, 75, 109
211, 227, 8, 25, 109

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

2 x 2 x 2 x 3 x 211 x 227 x 8 x 25 x 109 = 25059710400

Therefore, the lowest common multiple of 844,908,192,600,436 is 25059710400.

LCM Formula to Find Lowest Common Multiple of 844,908,192,600,436

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.

844 x 908 x 192 x 600 x 436 = 38491715174400

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.

844 : 1, 2, 4, 211, 422, 844

908 : 1, 2, 4, 227, 454, 908

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

436 : 1, 2, 4, 109, 218, 436

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,908,192,600,436, is 4.

Now, the common factors can be found like this.

844:2x 2x 211

908:2x 2x 227

192:2x 2x 2x 2x 2x 2x 3

600:2x 2x 2x 3x 5x 5

436:2x 2x 109

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 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 38491715174400/(4x384)

LCM = 38491715174400/1536

LCM = 25059710400

Thus, we can understand that the LCM of 844,908,192,600,436 is 25059710400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 844, 908, 192, 600, 436

1. What is the LCM of 844, 908, 192, 600, 436?

Answer: LCM of 844, 908, 192, 600, 436 is 25059710400.

2. How to calculate the LCM of 844, 908, 192, 600, 436?

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 844, 908, 192, 600, 436.

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}.