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LCM of 345, 797, 483, 606, 853

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


Find the LCM of 345, 797, 483, 606, 853 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 345, 797, 483, 606, 853. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,797,483,606,853

Given numbers are 345,797,483,606,853

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

The LCM of 345,797,483,606,853 is 331646835030.

Find LCM of 345,797,483,606,853 with Prime Factorization


3 345, 797, 483, 606, 853
23 115, 797, 161, 202, 853
5, 797, 7, 202, 853

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

3 x 23 x 5 x 797 x 7 x 202 x 853 = 331646835030

Therefore, the lowest common multiple of 345,797,483,606,853 is 331646835030.

LCM Formula to Find Lowest Common Multiple of 345,797,483,606,853

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.

345 x 797 x 483 x 606 x 853 = 68650894851210

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

797 : 1, 797

483 : 1, 3, 7, 21, 23, 69, 161, 483

606 : 1, 2, 3, 6, 101, 202, 303, 606

853 : 1, 853

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,797,483,606,853, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

797:797

483:3x 7x 23

606:2x 3x 101

853:853

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 68650894851210/(1x207)

LCM = 68650894851210/207

LCM = 331646835030

Thus, we can understand that the LCM of 345,797,483,606,853 is 331646835030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 797, 483, 606, 853

1. What is the LCM of 345, 797, 483, 606, 853?

Answer: LCM of 345, 797, 483, 606, 853 is 331646835030.

2. How to calculate the LCM of 345, 797, 483, 606, 853?

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 345, 797, 483, 606, 853.

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}.