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LCM of 316, 303, 899, 403, 981

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


Find the LCM of 316, 303, 899, 403, 981 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 316, 303, 899, 403, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 316,303,899,403,981

Given numbers are 316,303,899,403,981

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

The LCM of 316,303,899,403,981 is 365915248452.

Find LCM of 316,303,899,403,981 with Prime Factorization


3 316, 303, 899, 403, 981
31 316, 101, 899, 403, 327
316, 101, 29, 13, 327

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

3 x 31 x 316 x 101 x 29 x 13 x 327 = 365915248452

Therefore, the lowest common multiple of 316,303,899,403,981 is 365915248452.

LCM Formula to Find Lowest Common Multiple of 316,303,899,403,981

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.

316 x 303 x 899 x 403 x 981 = 34030118106036

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.

316 : 1, 2, 4, 79, 158, 316

303 : 1, 3, 101, 303

899 : 1, 29, 31, 899

403 : 1, 13, 31, 403

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,303,899,403,981, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

303:3x 101

899:29x 31

403:13x 31

981:3x 3x 109

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

3x 31 = 93

Therefore, the value for common factors is 93.

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 = 34030118106036/(1x93)

LCM = 34030118106036/93

LCM = 365915248452

Thus, we can understand that the LCM of 316,303,899,403,981 is 365915248452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 316, 303, 899, 403, 981

1. What is the LCM of 316, 303, 899, 403, 981?

Answer: LCM of 316, 303, 899, 403, 981 is 365915248452.

2. How to calculate the LCM of 316, 303, 899, 403, 981?

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 316, 303, 899, 403, 981.

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}.