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LCM of 835, 753, 215, 469

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


Find the LCM of 835, 753, 215, 469 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, 753, 215, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,753,215,469

Given numbers are 835,753,215,469

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

The LCM of 835,753,215,469 is 12680102085.

Find LCM of 835,753,215,469 with Prime Factorization


5 835, 753, 215, 469
167, 753, 43, 469

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

5 x 167 x 753 x 43 x 469 = 12680102085

Therefore, the lowest common multiple of 835,753,215,469 is 12680102085.

LCM Formula to Find Lowest Common Multiple of 835,753,215,469

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 753 x 215 x 469 = 63400510425

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

753 : 1, 3, 251, 753

215 : 1, 5, 43, 215

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,753,215,469, is 1.

Now, the common factors can be found like this.

835:5x 167

753:3x 251

215:5x 43

469:7x 67

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

5 = 5

Therefore, the value for common factors is 5.

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 = 63400510425/(1x5)

LCM = 63400510425/5

LCM = 12680102085

Thus, we can understand that the LCM of 835,753,215,469 is 12680102085.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 753, 215, 469

1. What is the LCM of 835, 753, 215, 469?

Answer: LCM of 835, 753, 215, 469 is 12680102085.

2. How to calculate the LCM of 835, 753, 215, 469?

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, 753, 215, 469.

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}.