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LCM of 835, 205, 358, 850

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


Find the LCM of 835, 205, 358, 850 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 835, 205, 358, 850. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,205,358,850

Given numbers are 835,205,358,850

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

The LCM of 835,205,358,850 is 1041771050.

Find LCM of 835,205,358,850 with Prime Factorization


2 835, 205, 358, 850
5 835, 205, 179, 425
167, 41, 179, 85

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

2 x 5 x 167 x 41 x 179 x 85 = 1041771050

Therefore, the lowest common multiple of 835,205,358,850 is 1041771050.

LCM Formula to Find Lowest Common Multiple of 835,205,358,850

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.

835 x 205 x 358 x 850 = 52088552500

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.

835 : 1, 5, 167, 835

205 : 1, 5, 41, 205

358 : 1, 2, 179, 358

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,205,358,850, is 1.

Now, the common factors can be found like this.

835:5x 167

205:5x 41

358:2x 179

850:2x 5x 5x 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 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 52088552500/(1x50)

LCM = 52088552500/50

LCM = 1041771050

Thus, we can understand that the LCM of 835,205,358,850 is 1041771050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 205, 358, 850

1. What is the LCM of 835, 205, 358, 850?

Answer: LCM of 835, 205, 358, 850 is 1041771050.

2. How to calculate the LCM of 835, 205, 358, 850?

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 835, 205, 358, 850.

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}.