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LCM of 677, 987, 573, 797, 345

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


Find the LCM of 677, 987, 573, 797, 345 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 677, 987, 573, 797, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,987,573,797,345

Given numbers are 677,987,573,797,345

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

The LCM of 677,987,573,797,345 is 11697561854895.

Find LCM of 677,987,573,797,345 with Prime Factorization


3 677, 987, 573, 797, 345
677, 329, 191, 797, 115

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

3 x 677 x 329 x 191 x 797 x 115 = 11697561854895

Therefore, the lowest common multiple of 677,987,573,797,345 is 11697561854895.

LCM Formula to Find Lowest Common Multiple of 677,987,573,797,345

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.

677 x 987 x 573 x 797 x 345 = 105278056694055

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.

677 : 1, 677

987 : 1, 3, 7, 21, 47, 141, 329, 987

573 : 1, 3, 191, 573

797 : 1, 797

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,987,573,797,345, is 1.

Now, the common factors can be found like this.

677:677

987:3x 7x 47

573:3x 191

797:797

345:3x 5x 23

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 105278056694055/(1x9)

LCM = 105278056694055/9

LCM = 11697561854895

Thus, we can understand that the LCM of 677,987,573,797,345 is 11697561854895.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 987, 573, 797, 345

1. What is the LCM of 677, 987, 573, 797, 345?

Answer: LCM of 677, 987, 573, 797, 345 is 11697561854895.

2. How to calculate the LCM of 677, 987, 573, 797, 345?

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 677, 987, 573, 797, 345.

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}.