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LCM of 182, 247, 652, 791, 428

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


Find the LCM of 182, 247, 652, 791, 428 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 182, 247, 652, 791, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,247,652,791,428

Given numbers are 182,247,652,791,428

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

The LCM of 182,247,652,791,428 is 13630281028.

Find LCM of 182,247,652,791,428 with Prime Factorization


2 182, 247, 652, 791, 428
2 91, 247, 326, 791, 214
7 91, 247, 163, 791, 107
13 13, 247, 163, 113, 107
1, 19, 163, 113, 107

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

2 x 2 x 7 x 13 x 1 x 19 x 163 x 113 x 107 = 13630281028

Therefore, the lowest common multiple of 182,247,652,791,428 is 13630281028.

LCM Formula to Find Lowest Common Multiple of 182,247,652,791,428

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.

182 x 247 x 652 x 791 x 428 = 9922844588384

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

247 : 1, 13, 19, 247

652 : 1, 2, 4, 163, 326, 652

791 : 1, 7, 113, 791

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,247,652,791,428, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

247:13x 19

652:2x 2x 163

791:7x 113

428:2x 2x 107

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 7x 13 = 728

Therefore, the value for common factors is 728.

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 = 9922844588384/(1x728)

LCM = 9922844588384/728

LCM = 13630281028

Thus, we can understand that the LCM of 182,247,652,791,428 is 13630281028.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 247, 652, 791, 428

1. What is the LCM of 182, 247, 652, 791, 428?

Answer: LCM of 182, 247, 652, 791, 428 is 13630281028.

2. How to calculate the LCM of 182, 247, 652, 791, 428?

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 182, 247, 652, 791, 428.

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}.