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LCM of 672, 782, 810, 173

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


Find the LCM of 672, 782, 810, 173 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 672, 782, 810, 173. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,782,810,173

Given numbers are 672,782,810,173

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

The LCM of 672,782,810,173 is 6136572960.

Find LCM of 672,782,810,173 with Prime Factorization


2 672, 782, 810, 173
3 336, 391, 405, 173
112, 391, 135, 173

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

2 x 3 x 112 x 391 x 135 x 173 = 6136572960

Therefore, the lowest common multiple of 672,782,810,173 is 6136572960.

LCM Formula to Find Lowest Common Multiple of 672,782,810,173

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.

672 x 782 x 810 x 173 = 73638875520

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

782 : 1, 2, 17, 23, 34, 46, 391, 782

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,782,810,173, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

782:2x 17x 23

810:2x 3x 3x 3x 3x 5

173:173

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 3 = 12

Therefore, the value for common factors is 12.

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 = 73638875520/(1x12)

LCM = 73638875520/12

LCM = 6136572960

Thus, we can understand that the LCM of 672,782,810,173 is 6136572960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 782, 810, 173

1. What is the LCM of 672, 782, 810, 173?

Answer: LCM of 672, 782, 810, 173 is 6136572960.

2. How to calculate the LCM of 672, 782, 810, 173?

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 672, 782, 810, 173.

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}.