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LCM of 253, 168, 187, 838

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


Find the LCM of 253, 168, 187, 838 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 253, 168, 187, 838. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,168,187,838

Given numbers are 253,168,187,838

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

The LCM of 253,168,187,838 is 302755992.

Find LCM of 253,168,187,838 with Prime Factorization


2 253, 168, 187, 838
11 253, 84, 187, 419
23, 84, 17, 419

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

2 x 11 x 23 x 84 x 17 x 419 = 302755992

Therefore, the lowest common multiple of 253,168,187,838 is 302755992.

LCM Formula to Find Lowest Common Multiple of 253,168,187,838

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.

253 x 168 x 187 x 838 = 6660631824

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.

253 : 1, 11, 23, 253

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

187 : 1, 11, 17, 187

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,168,187,838, is 1.

Now, the common factors can be found like this.

253:11x 23

168:2x 2x 2x 3x 7

187:11x 17

838:2x 419

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 6660631824/(1x22)

LCM = 6660631824/22

LCM = 302755992

Thus, we can understand that the LCM of 253,168,187,838 is 302755992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 168, 187, 838

1. What is the LCM of 253, 168, 187, 838?

Answer: LCM of 253, 168, 187, 838 is 302755992.

2. How to calculate the LCM of 253, 168, 187, 838?

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 253, 168, 187, 838.

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}.