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LCM of 677, 576, 174, 636

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


Find the LCM of 677, 576, 174, 636 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, 576, 174, 636. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,576,174,636

Given numbers are 677,576,174,636

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

The LCM of 677,576,174,636 is 599356224.

Find LCM of 677,576,174,636 with Prime Factorization


2 677, 576, 174, 636
2 677, 288, 87, 318
3 677, 144, 87, 159
677, 48, 29, 53

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

2 x 2 x 3 x 677 x 48 x 29 x 53 = 599356224

Therefore, the lowest common multiple of 677,576,174,636 is 599356224.

LCM Formula to Find Lowest Common Multiple of 677,576,174,636

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 576 x 174 x 636 = 43153648128

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

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

174 : 1, 2, 3, 6, 29, 58, 87, 174

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,576,174,636, is 1.

Now, the common factors can be found like this.

677:677

576:2x 2x 2x 2x 2x 2x 3x 3

174:2x 3x 29

636:2x 2x 3x 53

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 43153648128/(1x72)

LCM = 43153648128/72

LCM = 599356224

Thus, we can understand that the LCM of 677,576,174,636 is 599356224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 576, 174, 636

1. What is the LCM of 677, 576, 174, 636?

Answer: LCM of 677, 576, 174, 636 is 599356224.

2. How to calculate the LCM of 677, 576, 174, 636?

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, 576, 174, 636.

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}.