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LCM of 797, 286, 654, 434, 199

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


Find the LCM of 797, 286, 654, 434, 199 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 797, 286, 654, 434, 199. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,286,654,434,199

Given numbers are 797,286,654,434,199

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

The LCM of 797,286,654,434,199 is 3218732739222.

Find LCM of 797,286,654,434,199 with Prime Factorization


2 797, 286, 654, 434, 199
797, 143, 327, 217, 199

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

2 x 797 x 143 x 327 x 217 x 199 = 3218732739222

Therefore, the lowest common multiple of 797,286,654,434,199 is 3218732739222.

LCM Formula to Find Lowest Common Multiple of 797,286,654,434,199

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.

797 x 286 x 654 x 434 x 199 = 12874930956888

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.

797 : 1, 797

286 : 1, 2, 11, 13, 22, 26, 143, 286

654 : 1, 2, 3, 6, 109, 218, 327, 654

434 : 1, 2, 7, 14, 31, 62, 217, 434

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,286,654,434,199, is 1.

Now, the common factors can be found like this.

797:797

286:2x 11x 13

654:2x 3x 109

434:2x 7x 31

199:199

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 12874930956888/(1x4)

LCM = 12874930956888/4

LCM = 3218732739222

Thus, we can understand that the LCM of 797,286,654,434,199 is 3218732739222.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 286, 654, 434, 199

1. What is the LCM of 797, 286, 654, 434, 199?

Answer: LCM of 797, 286, 654, 434, 199 is 3218732739222.

2. How to calculate the LCM of 797, 286, 654, 434, 199?

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 797, 286, 654, 434, 199.

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}.