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LCM of 456, 682, 355, 269, 199

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


Find the LCM of 456, 682, 355, 269, 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 456, 682, 355, 269, 199. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 456,682,355,269,199

Given numbers are 456,682,355,269,199

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

The LCM of 456,682,355,269,199 is 2954969013480.

Find LCM of 456,682,355,269,199 with Prime Factorization


2 456, 682, 355, 269, 199
228, 341, 355, 269, 199

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

2 x 228 x 341 x 355 x 269 x 199 = 2954969013480

Therefore, the lowest common multiple of 456,682,355,269,199 is 2954969013480.

LCM Formula to Find Lowest Common Multiple of 456,682,355,269,199

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.

456 x 682 x 355 x 269 x 199 = 5909938026960

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

682 : 1, 2, 11, 22, 31, 62, 341, 682

355 : 1, 5, 71, 355

269 : 1, 269

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,682,355,269,199, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

682:2x 11x 31

355:5x 71

269:269

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.

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 = 5909938026960/(1x2)

LCM = 5909938026960/2

LCM = 2954969013480

Thus, we can understand that the LCM of 456,682,355,269,199 is 2954969013480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 456, 682, 355, 269, 199

1. What is the LCM of 456, 682, 355, 269, 199?

Answer: LCM of 456, 682, 355, 269, 199 is 2954969013480.

2. How to calculate the LCM of 456, 682, 355, 269, 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 456, 682, 355, 269, 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}.