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LCM of 368, 701, 242, 597, 277

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


Find the LCM of 368, 701, 242, 597, 277 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 368, 701, 242, 597, 277. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 368,701,242,597,277

Given numbers are 368,701,242,597,277

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

The LCM of 368,701,242,597,277 is 5161849133232.

Find LCM of 368,701,242,597,277 with Prime Factorization


2 368, 701, 242, 597, 277
184, 701, 121, 597, 277

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

2 x 184 x 701 x 121 x 597 x 277 = 5161849133232

Therefore, the lowest common multiple of 368,701,242,597,277 is 5161849133232.

LCM Formula to Find Lowest Common Multiple of 368,701,242,597,277

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.

368 x 701 x 242 x 597 x 277 = 10323698266464

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

701 : 1, 701

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

597 : 1, 3, 199, 597

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,701,242,597,277, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

701:701

242:2x 11x 11

597:3x 199

277:277

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

2 = 2

Therefore, the value for common factors is 2.

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 = 10323698266464/(1x2)

LCM = 10323698266464/2

LCM = 5161849133232

Thus, we can understand that the LCM of 368,701,242,597,277 is 5161849133232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 368, 701, 242, 597, 277

1. What is the LCM of 368, 701, 242, 597, 277?

Answer: LCM of 368, 701, 242, 597, 277 is 5161849133232.

2. How to calculate the LCM of 368, 701, 242, 597, 277?

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 368, 701, 242, 597, 277.

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}.