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LCM of 890, 173, 793, 304, 501

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


Find the LCM of 890, 173, 793, 304, 501 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 890, 173, 793, 304, 501. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 890,173,793,304,501

Given numbers are 890,173,793,304,501

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

The LCM of 890,173,793,304,501 is 9298022887920.

Find LCM of 890,173,793,304,501 with Prime Factorization


2 890, 173, 793, 304, 501
445, 173, 793, 152, 501

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

2 x 445 x 173 x 793 x 152 x 501 = 9298022887920

Therefore, the lowest common multiple of 890,173,793,304,501 is 9298022887920.

LCM Formula to Find Lowest Common Multiple of 890,173,793,304,501

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.

890 x 173 x 793 x 304 x 501 = 18596045775840

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

173 : 1, 173

793 : 1, 13, 61, 793

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,173,793,304,501, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

173:173

793:13x 61

304:2x 2x 2x 2x 19

501:3x 167

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

2 = 2

Therefore, the value for common factors is 2.

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 = 18596045775840/(1x2)

LCM = 18596045775840/2

LCM = 9298022887920

Thus, we can understand that the LCM of 890,173,793,304,501 is 9298022887920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 890, 173, 793, 304, 501

1. What is the LCM of 890, 173, 793, 304, 501?

Answer: LCM of 890, 173, 793, 304, 501 is 9298022887920.

2. How to calculate the LCM of 890, 173, 793, 304, 501?

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 890, 173, 793, 304, 501.

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}.