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LCM of 369, 857, 255, 680, 943

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


Find the LCM of 369, 857, 255, 680, 943 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 369, 857, 255, 680, 943. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 369,857,255,680,943

Given numbers are 369,857,255,680,943

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

The LCM of 369,857,255,680,943 is 4945884120.

Find LCM of 369,857,255,680,943 with Prime Factorization


3 369, 857, 255, 680, 943
5 123, 857, 85, 680, 943
17 123, 857, 17, 136, 943
41 123, 857, 1, 8, 943
3, 857, 1, 8, 23

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

3 x 5 x 17 x 41 x 3 x 857 x 1 x 8 x 23 = 4945884120

Therefore, the lowest common multiple of 369,857,255,680,943 is 4945884120.

LCM Formula to Find Lowest Common Multiple of 369,857,255,680,943

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.

369 x 857 x 255 x 680 x 943 = 51709218474600

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.

369 : 1, 3, 9, 41, 123, 369

857 : 1, 857

255 : 1, 3, 5, 15, 17, 51, 85, 255

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

943 : 1, 23, 41, 943

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,857,255,680,943, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

857:857

255:3x 5x 17

680:2x 2x 2x 5x 17

943:23x 41

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

3x 5x 17x 41 = 10455

Therefore, the value for common factors is 10455.

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 = 51709218474600/(1x10455)

LCM = 51709218474600/10455

LCM = 4945884120

Thus, we can understand that the LCM of 369,857,255,680,943 is 4945884120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 369, 857, 255, 680, 943

1. What is the LCM of 369, 857, 255, 680, 943?

Answer: LCM of 369, 857, 255, 680, 943 is 4945884120.

2. How to calculate the LCM of 369, 857, 255, 680, 943?

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 369, 857, 255, 680, 943.

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}.