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LCM of 211, 908, 845, 420, 964

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


Find the LCM of 211, 908, 845, 420, 964 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 211, 908, 845, 420, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 211,908,845,420,964

Given numbers are 211,908,845,420,964

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

The LCM of 211,908,845,420,964 is 819334703460.

Find LCM of 211,908,845,420,964 with Prime Factorization


2 211, 908, 845, 420, 964
2 211, 454, 845, 210, 482
5 211, 227, 845, 105, 241
211, 227, 169, 21, 241

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

2 x 2 x 5 x 211 x 227 x 169 x 21 x 241 = 819334703460

Therefore, the lowest common multiple of 211,908,845,420,964 is 819334703460.

LCM Formula to Find Lowest Common Multiple of 211,908,845,420,964

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.

211 x 908 x 845 x 420 x 964 = 65546776276800

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.

211 : 1, 211

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

845 : 1, 5, 13, 65, 169, 845

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,908,845,420,964, is 1.

Now, the common factors can be found like this.

211:211

908:2x 2x 227

845:5x 13x 13

420:2x 2x 3x 5x 7

964:2x 2x 241

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 5 = 80

Therefore, the value for common factors is 80.

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 = 65546776276800/(1x80)

LCM = 65546776276800/80

LCM = 819334703460

Thus, we can understand that the LCM of 211,908,845,420,964 is 819334703460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 211, 908, 845, 420, 964

1. What is the LCM of 211, 908, 845, 420, 964?

Answer: LCM of 211, 908, 845, 420, 964 is 819334703460.

2. How to calculate the LCM of 211, 908, 845, 420, 964?

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 211, 908, 845, 420, 964.

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}.