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LCM of 318, 348, 116, 526, 203

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


Find the LCM of 318, 348, 116, 526, 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 318, 348, 116, 526, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 318,348,116,526,203

Given numbers are 318,348,116,526,203

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

The LCM of 318,348,116,526,203 is 33955404.

Find LCM of 318,348,116,526,203 with Prime Factorization


2 318, 348, 116, 526, 203
2 159, 174, 58, 263, 203
3 159, 87, 29, 263, 203
29 53, 29, 29, 263, 203
53, 1, 1, 263, 7

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

2 x 2 x 3 x 29 x 53 x 1 x 1 x 263 x 7 = 33955404

Therefore, the lowest common multiple of 318,348,116,526,203 is 33955404.

LCM Formula to Find Lowest Common Multiple of 318,348,116,526,203

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.

318 x 348 x 116 x 526 x 203 = 1370711748672

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

116 : 1, 2, 4, 29, 58, 116

526 : 1, 2, 263, 526

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,348,116,526,203, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

348:2x 2x 3x 29

116:2x 2x 29

526:2x 263

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 2x 2x 2x 3x 29x 29 = 40368

Therefore, the value for common factors is 40368.

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 = 1370711748672/(1x40368)

LCM = 1370711748672/40368

LCM = 33955404

Thus, we can understand that the LCM of 318,348,116,526,203 is 33955404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 318, 348, 116, 526, 203

1. What is the LCM of 318, 348, 116, 526, 203?

Answer: LCM of 318, 348, 116, 526, 203 is 33955404.

2. How to calculate the LCM of 318, 348, 116, 526, 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 318, 348, 116, 526, 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}.