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LCM of 838, 696, 493, 203

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


Find the LCM of 838, 696, 493, 203 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 838, 696, 493, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,696,493,203

Given numbers are 838,696,493,203

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

The LCM of 838,696,493,203 is 34703256.

Find LCM of 838,696,493,203 with Prime Factorization


2 838, 696, 493, 203
29 419, 348, 493, 203
419, 12, 17, 7

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

2 x 29 x 419 x 12 x 17 x 7 = 34703256

Therefore, the lowest common multiple of 838,696,493,203 is 34703256.

LCM Formula to Find Lowest Common Multiple of 838,696,493,203

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.

838 x 696 x 493 x 203 = 58370876592

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.

838 : 1, 2, 419, 838

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

493 : 1, 17, 29, 493

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,696,493,203, is 1.

Now, the common factors can be found like this.

838:2x 419

696:2x 2x 2x 3x 29

493:17x 29

203:7x 29

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

2x 29x 29 = 1682

Therefore, the value for common factors is 1682.

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 = 58370876592/(1x1682)

LCM = 58370876592/1682

LCM = 34703256

Thus, we can understand that the LCM of 838,696,493,203 is 34703256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 696, 493, 203

1. What is the LCM of 838, 696, 493, 203?

Answer: LCM of 838, 696, 493, 203 is 34703256.

2. How to calculate the LCM of 838, 696, 493, 203?

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 838, 696, 493, 203.

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}.