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LCM of 481, 259, 106, 113

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


Find the LCM of 481, 259, 106, 113 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 481, 259, 106, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,259,106,113

Given numbers are 481,259,106,113

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

The LCM of 481,259,106,113 is 40329926.

Find LCM of 481,259,106,113 with Prime Factorization


37 481, 259, 106, 113
13, 7, 106, 113

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

37 x 13 x 7 x 106 x 113 = 40329926

Therefore, the lowest common multiple of 481,259,106,113 is 40329926.

LCM Formula to Find Lowest Common Multiple of 481,259,106,113

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.

481 x 259 x 106 x 113 = 1492207262

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.

481 : 1, 13, 37, 481

259 : 1, 7, 37, 259

106 : 1, 2, 53, 106

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,259,106,113, is 1.

Now, the common factors can be found like this.

481:13x 37

259:7x 37

106:2x 53

113:113

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

37 = 37

Therefore, the value for common factors is 37.

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 = 1492207262/(1x37)

LCM = 1492207262/37

LCM = 40329926

Thus, we can understand that the LCM of 481,259,106,113 is 40329926.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 259, 106, 113

1. What is the LCM of 481, 259, 106, 113?

Answer: LCM of 481, 259, 106, 113 is 40329926.

2. How to calculate the LCM of 481, 259, 106, 113?

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 481, 259, 106, 113.

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}.