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LCM of 421, 522, 541, 783, 139

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


Find the LCM of 421, 522, 541, 783, 139 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 421, 522, 541, 783, 139. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,522,541,783,139

Given numbers are 421,522,541,783,139

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

The LCM of 421,522,541,783,139 is 49577647914.

Find LCM of 421,522,541,783,139 with Prime Factorization


3 421, 522, 541, 783, 139
3 421, 174, 541, 261, 139
29 421, 58, 541, 87, 139
421, 2, 541, 3, 139

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

3 x 3 x 29 x 421 x 2 x 541 x 3 x 139 = 49577647914

Therefore, the lowest common multiple of 421,522,541,783,139 is 49577647914.

LCM Formula to Find Lowest Common Multiple of 421,522,541,783,139

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.

421 x 522 x 541 x 783 x 139 = 12939766105554

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.

421 : 1, 421

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

541 : 1, 541

783 : 1, 3, 9, 27, 29, 87, 261, 783

139 : 1, 139

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,522,541,783,139, is 1.

Now, the common factors can be found like this.

421:421

522:2x 3x 3x 29

541:541

783:3x 3x 3x 29

139:139

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

3x 3x 29 = 261

Therefore, the value for common factors is 261.

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 = 12939766105554/(1x261)

LCM = 12939766105554/261

LCM = 49577647914

Thus, we can understand that the LCM of 421,522,541,783,139 is 49577647914.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 522, 541, 783, 139

1. What is the LCM of 421, 522, 541, 783, 139?

Answer: LCM of 421, 522, 541, 783, 139 is 49577647914.

2. How to calculate the LCM of 421, 522, 541, 783, 139?

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 421, 522, 541, 783, 139.

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}.