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LCM of 501, 253, 136, 414

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


Find the LCM of 501, 253, 136, 414 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 501, 253, 136, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 501,253,136,414

Given numbers are 501,253,136,414

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

The LCM of 501,253,136,414 is 51715224.

Find LCM of 501,253,136,414 with Prime Factorization


2 501, 253, 136, 414
3 501, 253, 68, 207
23 167, 253, 68, 69
167, 11, 68, 3

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

2 x 3 x 23 x 167 x 11 x 68 x 3 = 51715224

Therefore, the lowest common multiple of 501,253,136,414 is 51715224.

LCM Formula to Find Lowest Common Multiple of 501,253,136,414

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.

501 x 253 x 136 x 414 = 7136700912

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.

501 : 1, 3, 167, 501

253 : 1, 11, 23, 253

136 : 1, 2, 4, 8, 17, 34, 68, 136

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,253,136,414, is 1.

Now, the common factors can be found like this.

501:3x 167

253:11x 23

136:2x 2x 2x 17

414:2x 3x 3x 23

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 7136700912/(1x138)

LCM = 7136700912/138

LCM = 51715224

Thus, we can understand that the LCM of 501,253,136,414 is 51715224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 501, 253, 136, 414

1. What is the LCM of 501, 253, 136, 414?

Answer: LCM of 501, 253, 136, 414 is 51715224.

2. How to calculate the LCM of 501, 253, 136, 414?

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 501, 253, 136, 414.

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}.