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LCM of 857, 731, 562, 376, 295

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


Find the LCM of 857, 731, 562, 376, 295 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 857, 731, 562, 376, 295. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 857,731,562,376,295

Given numbers are 857,731,562,376,295

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

The LCM of 857,731,562,376,295 is 19526049218840.

Find LCM of 857,731,562,376,295 with Prime Factorization


2 857, 731, 562, 376, 295
857, 731, 281, 188, 295

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

2 x 857 x 731 x 281 x 188 x 295 = 19526049218840

Therefore, the lowest common multiple of 857,731,562,376,295 is 19526049218840.

LCM Formula to Find Lowest Common Multiple of 857,731,562,376,295

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.

857 x 731 x 562 x 376 x 295 = 39052098437680

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.

857 : 1, 857

731 : 1, 17, 43, 731

562 : 1, 2, 281, 562

376 : 1, 2, 4, 8, 47, 94, 188, 376

295 : 1, 5, 59, 295

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,731,562,376,295, is 1.

Now, the common factors can be found like this.

857:857

731:17x 43

562:2x 281

376:2x 2x 2x 47

295:5x 59

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 = 39052098437680/(1x2)

LCM = 39052098437680/2

LCM = 19526049218840

Thus, we can understand that the LCM of 857,731,562,376,295 is 19526049218840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 857, 731, 562, 376, 295

1. What is the LCM of 857, 731, 562, 376, 295?

Answer: LCM of 857, 731, 562, 376, 295 is 19526049218840.

2. How to calculate the LCM of 857, 731, 562, 376, 295?

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 857, 731, 562, 376, 295.

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}.