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LCM of 118, 130, 534, 221

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


Find the LCM of 118, 130, 534, 221 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 118, 130, 534, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 118,130,534,221

Given numbers are 118,130,534,221

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

The LCM of 118,130,534,221 is 34814130.

Find LCM of 118,130,534,221 with Prime Factorization


2 118, 130, 534, 221
13 59, 65, 267, 221
59, 5, 267, 17

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

2 x 13 x 59 x 5 x 267 x 17 = 34814130

Therefore, the lowest common multiple of 118,130,534,221 is 34814130.

LCM Formula to Find Lowest Common Multiple of 118,130,534,221

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.

118 x 130 x 534 x 221 = 1810334760

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.

118 : 1, 2, 59, 118

130 : 1, 2, 5, 10, 13, 26, 65, 130

534 : 1, 2, 3, 6, 89, 178, 267, 534

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,130,534,221, is 1.

Now, the common factors can be found like this.

118:2x 59

130:2x 5x 13

534:2x 3x 89

221:13x 17

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 13 = 52

Therefore, the value for common factors is 52.

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 = 1810334760/(1x52)

LCM = 1810334760/52

LCM = 34814130

Thus, we can understand that the LCM of 118,130,534,221 is 34814130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 118, 130, 534, 221

1. What is the LCM of 118, 130, 534, 221?

Answer: LCM of 118, 130, 534, 221 is 34814130.

2. How to calculate the LCM of 118, 130, 534, 221?

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 118, 130, 534, 221.

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}.