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LCM of 173, 614, 921, 147, 822

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


Find the LCM of 173, 614, 921, 147, 822 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 173, 614, 921, 147, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 173,614,921,147,822

Given numbers are 173,614,921,147,822

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

The LCM of 173,614,921,147,822 is 2139204858.

Find LCM of 173,614,921,147,822 with Prime Factorization


2 173, 614, 921, 147, 822
3 173, 307, 921, 147, 411
307 173, 307, 307, 49, 137
173, 1, 1, 49, 137

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

2 x 3 x 307 x 173 x 1 x 1 x 49 x 137 = 2139204858

Therefore, the lowest common multiple of 173,614,921,147,822 is 2139204858.

LCM Formula to Find Lowest Common Multiple of 173,614,921,147,822

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.

173 x 614 x 921 x 147 x 822 = 11821246045308

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.

173 : 1, 173

614 : 1, 2, 307, 614

921 : 1, 3, 307, 921

147 : 1, 3, 7, 21, 49, 147

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,614,921,147,822, is 1.

Now, the common factors can be found like this.

173:173

614:2x 307

921:3x 307

147:3x 7x 7

822:2x 3x 137

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

2x 3x 3x 307 = 5526

Therefore, the value for common factors is 5526.

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 = 11821246045308/(1x5526)

LCM = 11821246045308/5526

LCM = 2139204858

Thus, we can understand that the LCM of 173,614,921,147,822 is 2139204858.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 173, 614, 921, 147, 822

1. What is the LCM of 173, 614, 921, 147, 822?

Answer: LCM of 173, 614, 921, 147, 822 is 2139204858.

2. How to calculate the LCM of 173, 614, 921, 147, 822?

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 173, 614, 921, 147, 822.

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}.