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LCM of 899, 217, 348, 377

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


Find the LCM of 899, 217, 348, 377 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 899, 217, 348, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 899,217,348,377

Given numbers are 899,217,348,377

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

The LCM of 899,217,348,377 is 981708.

Find LCM of 899,217,348,377 with Prime Factorization


29 899, 217, 348, 377
31 31, 217, 12, 13
1, 7, 12, 13

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

29 x 31 x 1 x 7 x 12 x 13 = 981708

Therefore, the lowest common multiple of 899,217,348,377 is 981708.

LCM Formula to Find Lowest Common Multiple of 899,217,348,377

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.

899 x 217 x 348 x 377 = 25594109268

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.

899 : 1, 29, 31, 899

217 : 1, 7, 31, 217

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,217,348,377, is 1.

Now, the common factors can be found like this.

899:29x 31

217:7x 31

348:2x 2x 3x 29

377:13x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

29x 29x 31 = 26071

Therefore, the value for common factors is 26071.

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 = 25594109268/(1x26071)

LCM = 25594109268/26071

LCM = 981708

Thus, we can understand that the LCM of 899,217,348,377 is 981708.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 899, 217, 348, 377

1. What is the LCM of 899, 217, 348, 377?

Answer: LCM of 899, 217, 348, 377 is 981708.

2. How to calculate the LCM of 899, 217, 348, 377?

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 899, 217, 348, 377.

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}.