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LCM of 373, 405, 908, 254, 518

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


Find the LCM of 373, 405, 908, 254, 518 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 373, 405, 908, 254, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 373,405,908,254,518

Given numbers are 373,405,908,254,518

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

The LCM of 373,405,908,254,518 is 4511834788860.

Find LCM of 373,405,908,254,518 with Prime Factorization


2 373, 405, 908, 254, 518
373, 405, 454, 127, 259

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

2 x 373 x 405 x 454 x 127 x 259 = 4511834788860

Therefore, the lowest common multiple of 373,405,908,254,518 is 4511834788860.

LCM Formula to Find Lowest Common Multiple of 373,405,908,254,518

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.

373 x 405 x 908 x 254 x 518 = 18047339155440

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.

373 : 1, 373

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

908 : 1, 2, 4, 227, 454, 908

254 : 1, 2, 127, 254

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,405,908,254,518, is 1.

Now, the common factors can be found like this.

373:373

405:3x 3x 3x 3x 5

908:2x 2x 227

254:2x 127

518:2x 7x 37

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 = 18047339155440/(1x4)

LCM = 18047339155440/4

LCM = 4511834788860

Thus, we can understand that the LCM of 373,405,908,254,518 is 4511834788860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 373, 405, 908, 254, 518

1. What is the LCM of 373, 405, 908, 254, 518?

Answer: LCM of 373, 405, 908, 254, 518 is 4511834788860.

2. How to calculate the LCM of 373, 405, 908, 254, 518?

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 373, 405, 908, 254, 518.

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}.