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LCM of 903, 621, 333, 329, 124

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


Find the LCM of 903, 621, 333, 329, 124 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 903, 621, 333, 329, 124. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 903,621,333,329,124

Given numbers are 903,621,333,329,124

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

The LCM of 903,621,333,329,124 is 40306896756.

Find LCM of 903,621,333,329,124 with Prime Factorization


3 903, 621, 333, 329, 124
3 301, 207, 111, 329, 124
7 301, 69, 37, 329, 124
43, 69, 37, 47, 124

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

3 x 3 x 7 x 43 x 69 x 37 x 47 x 124 = 40306896756

Therefore, the lowest common multiple of 903,621,333,329,124 is 40306896756.

LCM Formula to Find Lowest Common Multiple of 903,621,333,329,124

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.

903 x 621 x 333 x 329 x 124 = 7618003486884

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.

903 : 1, 3, 7, 21, 43, 129, 301, 903

621 : 1, 3, 9, 23, 27, 69, 207, 621

333 : 1, 3, 9, 37, 111, 333

329 : 1, 7, 47, 329

124 : 1, 2, 4, 31, 62, 124

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,621,333,329,124, is 1.

Now, the common factors can be found like this.

903:3x 7x 43

621:3x 3x 3x 23

333:3x 3x 37

329:7x 47

124:2x 2x 31

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

3x 3x 3x 7 = 189

Therefore, the value for common factors is 189.

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 = 7618003486884/(1x189)

LCM = 7618003486884/189

LCM = 40306896756

Thus, we can understand that the LCM of 903,621,333,329,124 is 40306896756.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 903, 621, 333, 329, 124

1. What is the LCM of 903, 621, 333, 329, 124?

Answer: LCM of 903, 621, 333, 329, 124 is 40306896756.

2. How to calculate the LCM of 903, 621, 333, 329, 124?

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 903, 621, 333, 329, 124.

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}.