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LCM of 340, 504, 955, 322, 408

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


Find the LCM of 340, 504, 955, 322, 408 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 340, 504, 955, 322, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,504,955,322,408

Given numbers are 340,504,955,322,408

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

The LCM of 340,504,955,322,408 is 188196120.

Find LCM of 340,504,955,322,408 with Prime Factorization


2 340, 504, 955, 322, 408
2 170, 252, 955, 161, 204
2 85, 126, 955, 161, 102
3 85, 63, 955, 161, 51
5 85, 21, 955, 161, 17
7 17, 21, 191, 161, 17
17 17, 3, 191, 23, 17
1, 3, 191, 23, 1

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

2 x 2 x 2 x 3 x 5 x 7 x 17 x 1 x 3 x 191 x 23 x 1 = 188196120

Therefore, the lowest common multiple of 340,504,955,322,408 is 188196120.

LCM Formula to Find Lowest Common Multiple of 340,504,955,322,408

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.

340 x 504 x 955 x 322 x 408 = 21499524748800

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

955 : 1, 5, 191, 955

322 : 1, 2, 7, 14, 23, 46, 161, 322

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,504,955,322,408, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

504:2x 2x 2x 3x 3x 7

955:5x 191

322:2x 7x 23

408:2x 2x 2x 3x 17

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 2x 2x 2x 3x 5x 7x 17 = 114240

Therefore, the value for common factors is 114240.

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 = 21499524748800/(1x114240)

LCM = 21499524748800/114240

LCM = 188196120

Thus, we can understand that the LCM of 340,504,955,322,408 is 188196120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 504, 955, 322, 408

1. What is the LCM of 340, 504, 955, 322, 408?

Answer: LCM of 340, 504, 955, 322, 408 is 188196120.

2. How to calculate the LCM of 340, 504, 955, 322, 408?

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 340, 504, 955, 322, 408.

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}.