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LCM of 407, 146, 323, 400, 904

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


Find the LCM of 407, 146, 323, 400, 904 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 407, 146, 323, 400, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,146,323,400,904

Given numbers are 407,146,323,400,904

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

The LCM of 407,146,323,400,904 is 433768715600.

Find LCM of 407,146,323,400,904 with Prime Factorization


2 407, 146, 323, 400, 904
2 407, 73, 323, 200, 452
2 407, 73, 323, 100, 226
407, 73, 323, 50, 113

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

2 x 2 x 2 x 407 x 73 x 323 x 50 x 113 = 433768715600

Therefore, the lowest common multiple of 407,146,323,400,904 is 433768715600.

LCM Formula to Find Lowest Common Multiple of 407,146,323,400,904

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.

407 x 146 x 323 x 400 x 904 = 6940299449600

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.

407 : 1, 11, 37, 407

146 : 1, 2, 73, 146

323 : 1, 17, 19, 323

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,146,323,400,904, is 1.

Now, the common factors can be found like this.

407:11x 37

146:2x 73

323:17x 19

400:2x 2x 2x 2x 5x 5

904:2x 2x 2x 113

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 6940299449600/(1x16)

LCM = 6940299449600/16

LCM = 433768715600

Thus, we can understand that the LCM of 407,146,323,400,904 is 433768715600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 146, 323, 400, 904

1. What is the LCM of 407, 146, 323, 400, 904?

Answer: LCM of 407, 146, 323, 400, 904 is 433768715600.

2. How to calculate the LCM of 407, 146, 323, 400, 904?

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 407, 146, 323, 400, 904.

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}.