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LCM of 355, 781, 372, 242, 356

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


Find the LCM of 355, 781, 372, 242, 356 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 355, 781, 372, 242, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 355,781,372,242,356

Given numbers are 355,781,372,242,356

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

The LCM of 355,781,372,242,356 is 1422154140.

Find LCM of 355,781,372,242,356 with Prime Factorization


2 355, 781, 372, 242, 356
2 355, 781, 186, 121, 178
11 355, 781, 93, 121, 89
71 355, 71, 93, 11, 89
5, 1, 93, 11, 89

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

2 x 2 x 11 x 71 x 5 x 1 x 93 x 11 x 89 = 1422154140

Therefore, the lowest common multiple of 355,781,372,242,356 is 1422154140.

LCM Formula to Find Lowest Common Multiple of 355,781,372,242,356

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.

355 x 781 x 372 x 242 x 356 = 8885619066720

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.

355 : 1, 5, 71, 355

781 : 1, 11, 71, 781

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

242 : 1, 2, 11, 22, 121, 242

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,781,372,242,356, is 1.

Now, the common factors can be found like this.

355:5x 71

781:11x 71

372:2x 2x 3x 31

242:2x 11x 11

356:2x 2x 89

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 11x 71 = 6248

Therefore, the value for common factors is 6248.

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 = 8885619066720/(1x6248)

LCM = 8885619066720/6248

LCM = 1422154140

Thus, we can understand that the LCM of 355,781,372,242,356 is 1422154140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 355, 781, 372, 242, 356

1. What is the LCM of 355, 781, 372, 242, 356?

Answer: LCM of 355, 781, 372, 242, 356 is 1422154140.

2. How to calculate the LCM of 355, 781, 372, 242, 356?

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 355, 781, 372, 242, 356.

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}.