LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 248, 414, 169, 299, 569

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


Find the LCM of 248, 414, 169, 299, 569 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 248, 414, 169, 299, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 248,414,169,299,569

Given numbers are 248,414,169,299,569

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

The LCM of 248,414,169,299,569 is 4936521096.

Find LCM of 248,414,169,299,569 with Prime Factorization


2 248, 414, 169, 299, 569
13 124, 207, 169, 299, 569
23 124, 207, 13, 23, 569
124, 9, 13, 1, 569

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

2 x 13 x 23 x 124 x 9 x 13 x 1 x 569 = 4936521096

Therefore, the lowest common multiple of 248,414,169,299,569 is 4936521096.

LCM Formula to Find Lowest Common Multiple of 248,414,169,299,569

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.

248 x 414 x 169 x 299 x 569 = 2952039615408

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

169 : 1, 13, 169

299 : 1, 13, 23, 299

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,414,169,299,569, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

414:2x 3x 3x 23

169:13x 13

299:13x 23

569:569

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

2x 13x 23 = 598

Therefore, the value for common factors is 598.

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 = 2952039615408/(1x598)

LCM = 2952039615408/598

LCM = 4936521096

Thus, we can understand that the LCM of 248,414,169,299,569 is 4936521096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 248, 414, 169, 299, 569

1. What is the LCM of 248, 414, 169, 299, 569?

Answer: LCM of 248, 414, 169, 299, 569 is 4936521096.

2. How to calculate the LCM of 248, 414, 169, 299, 569?

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 248, 414, 169, 299, 569.

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}.