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LCM of 139, 161, 653, 105, 506

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


Find the LCM of 139, 161, 653, 105, 506 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 139, 161, 653, 105, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 139,161,653,105,506

Given numbers are 139,161,653,105,506

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

The LCM of 139,161,653,105,506 is 4822450710.

Find LCM of 139,161,653,105,506 with Prime Factorization


7 139, 161, 653, 105, 506
23 139, 23, 653, 15, 506
139, 1, 653, 15, 22

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

7 x 23 x 139 x 1 x 653 x 15 x 22 = 4822450710

Therefore, the lowest common multiple of 139,161,653,105,506 is 4822450710.

LCM Formula to Find Lowest Common Multiple of 139,161,653,105,506

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.

139 x 161 x 653 x 105 x 506 = 776414564310

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.

139 : 1, 139

161 : 1, 7, 23, 161

653 : 1, 653

105 : 1, 3, 5, 7, 15, 21, 35, 105

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,161,653,105,506, is 1.

Now, the common factors can be found like this.

139:139

161:7x 23

653:653

105:3x 5x 7

506:2x 11x 23

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

7x 23 = 161

Therefore, the value for common factors is 161.

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 = 776414564310/(1x161)

LCM = 776414564310/161

LCM = 4822450710

Thus, we can understand that the LCM of 139,161,653,105,506 is 4822450710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 139, 161, 653, 105, 506

1. What is the LCM of 139, 161, 653, 105, 506?

Answer: LCM of 139, 161, 653, 105, 506 is 4822450710.

2. How to calculate the LCM of 139, 161, 653, 105, 506?

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 139, 161, 653, 105, 506.

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}.