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LCM of 834, 185, 245, 422

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


Find the LCM of 834, 185, 245, 422 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 834, 185, 245, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,185,245,422

Given numbers are 834,185,245,422

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

The LCM of 834,185,245,422 is 1595204310.

Find LCM of 834,185,245,422 with Prime Factorization


2 834, 185, 245, 422
5 417, 185, 245, 211
417, 37, 49, 211

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

2 x 5 x 417 x 37 x 49 x 211 = 1595204310

Therefore, the lowest common multiple of 834,185,245,422 is 1595204310.

LCM Formula to Find Lowest Common Multiple of 834,185,245,422

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.

834 x 185 x 245 x 422 = 15952043100

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

185 : 1, 5, 37, 185

245 : 1, 5, 7, 35, 49, 245

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,185,245,422, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

185:5x 37

245:5x 7x 7

422:2x 211

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 15952043100/(1x10)

LCM = 15952043100/10

LCM = 1595204310

Thus, we can understand that the LCM of 834,185,245,422 is 1595204310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 185, 245, 422

1. What is the LCM of 834, 185, 245, 422?

Answer: LCM of 834, 185, 245, 422 is 1595204310.

2. How to calculate the LCM of 834, 185, 245, 422?

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 834, 185, 245, 422.

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}.