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LCM of 238, 240, 255, 781

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


Find the LCM of 238, 240, 255, 781 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, 240, 255, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 238,240,255,781

Given numbers are 238,240,255,781

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

The LCM of 238,240,255,781 is 22305360.

Find LCM of 238,240,255,781 with Prime Factorization


2 238, 240, 255, 781
3 119, 120, 255, 781
5 119, 40, 85, 781
17 119, 8, 17, 781
7, 8, 1, 781

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

2 x 3 x 5 x 17 x 7 x 8 x 1 x 781 = 22305360

Therefore, the lowest common multiple of 238,240,255,781 is 22305360.

LCM Formula to Find Lowest Common Multiple of 238,240,255,781

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 240 x 255 x 781 = 11375733600

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,240,255,781, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

240:2x 2x 2x 2x 3x 5

255:3x 5x 17

781:11x 71

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 5x 17 = 510

Therefore, the value for common factors is 510.

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 = 11375733600/(1x510)

LCM = 11375733600/510

LCM = 22305360

Thus, we can understand that the LCM of 238,240,255,781 is 22305360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 238, 240, 255, 781

1. What is the LCM of 238, 240, 255, 781?

Answer: LCM of 238, 240, 255, 781 is 22305360.

2. How to calculate the LCM of 238, 240, 255, 781?

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, 240, 255, 781.

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}.