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LCM of 238, 567, 255, 398

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


Find the LCM of 238, 567, 255, 398 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 238, 567, 255, 398. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 238,567,255,398

Given numbers are 238,567,255,398

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

The LCM of 238,567,255,398 is 19181610.

Find LCM of 238,567,255,398 with Prime Factorization


2 238, 567, 255, 398
3 119, 567, 255, 199
7 119, 189, 85, 199
17 17, 27, 85, 199
1, 27, 5, 199

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

2 x 3 x 7 x 17 x 1 x 27 x 5 x 199 = 19181610

Therefore, the lowest common multiple of 238,567,255,398 is 19181610.

LCM Formula to Find Lowest Common Multiple of 238,567,255,398

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.

238 x 567 x 255 x 398 = 13695669540

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

255 : 1, 3, 5, 15, 17, 51, 85, 255

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,567,255,398, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

567:3x 3x 3x 3x 7

255:3x 5x 17

398:2x 199

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

2x 3x 7x 17 = 714

Therefore, the value for common factors is 714.

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 = 13695669540/(1x714)

LCM = 13695669540/714

LCM = 19181610

Thus, we can understand that the LCM of 238,567,255,398 is 19181610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 238, 567, 255, 398

1. What is the LCM of 238, 567, 255, 398?

Answer: LCM of 238, 567, 255, 398 is 19181610.

2. How to calculate the LCM of 238, 567, 255, 398?

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 238, 567, 255, 398.

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}.