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LCM of 304, 418, 822, 253

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


Find the LCM of 304, 418, 822, 253 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 304, 418, 822, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,418,822,253

Given numbers are 304,418,822,253

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

The LCM of 304,418,822,253 is 31610832.

Find LCM of 304,418,822,253 with Prime Factorization


2 304, 418, 822, 253
11 152, 209, 411, 253
19 152, 19, 411, 23
8, 1, 411, 23

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

2 x 11 x 19 x 8 x 1 x 411 x 23 = 31610832

Therefore, the lowest common multiple of 304,418,822,253 is 31610832.

LCM Formula to Find Lowest Common Multiple of 304,418,822,253

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.

304 x 418 x 822 x 253 = 26426655552

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.

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

822 : 1, 2, 3, 6, 137, 274, 411, 822

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,418,822,253, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

418:2x 11x 19

822:2x 3x 137

253:11x 23

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 11x 19 = 836

Therefore, the value for common factors is 836.

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 = 26426655552/(1x836)

LCM = 26426655552/836

LCM = 31610832

Thus, we can understand that the LCM of 304,418,822,253 is 31610832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 418, 822, 253

1. What is the LCM of 304, 418, 822, 253?

Answer: LCM of 304, 418, 822, 253 is 31610832.

2. How to calculate the LCM of 304, 418, 822, 253?

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 304, 418, 822, 253.

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}.