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LCM of 409, 626, 788, 601, 438

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


Find the LCM of 409, 626, 788, 601, 438 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 409, 626, 788, 601, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,626,788,601,438

Given numbers are 409,626,788,601,438

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

The LCM of 409,626,788,601,438 is 13277381984124.

Find LCM of 409,626,788,601,438 with Prime Factorization


2 409, 626, 788, 601, 438
409, 313, 394, 601, 219

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

2 x 409 x 313 x 394 x 601 x 219 = 13277381984124

Therefore, the lowest common multiple of 409,626,788,601,438 is 13277381984124.

LCM Formula to Find Lowest Common Multiple of 409,626,788,601,438

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.

409 x 626 x 788 x 601 x 438 = 53109527936496

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.

409 : 1, 409

626 : 1, 2, 313, 626

788 : 1, 2, 4, 197, 394, 788

601 : 1, 601

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,626,788,601,438, is 1.

Now, the common factors can be found like this.

409:409

626:2x 313

788:2x 2x 197

601:601

438:2x 3x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53109527936496/(1x4)

LCM = 53109527936496/4

LCM = 13277381984124

Thus, we can understand that the LCM of 409,626,788,601,438 is 13277381984124.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 626, 788, 601, 438

1. What is the LCM of 409, 626, 788, 601, 438?

Answer: LCM of 409, 626, 788, 601, 438 is 13277381984124.

2. How to calculate the LCM of 409, 626, 788, 601, 438?

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 409, 626, 788, 601, 438.

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}.