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LCM of 835, 633, 844, 357

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


Find the LCM of 835, 633, 844, 357 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, 633, 844, 357. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,633,844,357

Given numbers are 835,633,844,357

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

The LCM of 835,633,844,357 is 251592180.

Find LCM of 835,633,844,357 with Prime Factorization


3 835, 633, 844, 357
211 835, 211, 844, 119
835, 1, 4, 119

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

3 x 211 x 835 x 1 x 4 x 119 = 251592180

Therefore, the lowest common multiple of 835,633,844,357 is 251592180.

LCM Formula to Find Lowest Common Multiple of 835,633,844,357

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 633 x 844 x 357 = 159257849940

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

633 : 1, 3, 211, 633

844 : 1, 2, 4, 211, 422, 844

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,633,844,357, is 1.

Now, the common factors can be found like this.

835:5x 167

633:3x 211

844:2x 2x 211

357:3x 7x 17

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

3x 211 = 633

Therefore, the value for common factors is 633.

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 = 159257849940/(1x633)

LCM = 159257849940/633

LCM = 251592180

Thus, we can understand that the LCM of 835,633,844,357 is 251592180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 633, 844, 357

1. What is the LCM of 835, 633, 844, 357?

Answer: LCM of 835, 633, 844, 357 is 251592180.

2. How to calculate the LCM of 835, 633, 844, 357?

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, 633, 844, 357.

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}.