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LCM of 111, 119, 435, 522

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


Find the LCM of 111, 119, 435, 522 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 111, 119, 435, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 111,119,435,522

Given numbers are 111,119,435,522

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

The LCM of 111,119,435,522 is 11491830.

Find LCM of 111,119,435,522 with Prime Factorization


3 111, 119, 435, 522
29 37, 119, 145, 174
37, 119, 5, 6

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

3 x 29 x 37 x 119 x 5 x 6 = 11491830

Therefore, the lowest common multiple of 111,119,435,522 is 11491830.

LCM Formula to Find Lowest Common Multiple of 111,119,435,522

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.

111 x 119 x 435 x 522 = 2999367630

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.

111 : 1, 3, 37, 111

119 : 1, 7, 17, 119

435 : 1, 3, 5, 15, 29, 87, 145, 435

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,119,435,522, is 1.

Now, the common factors can be found like this.

111:3x 37

119:7x 17

435:3x 5x 29

522:2x 3x 3x 29

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 = 2999367630/(1x261)

LCM = 2999367630/261

LCM = 11491830

Thus, we can understand that the LCM of 111,119,435,522 is 11491830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 111, 119, 435, 522

1. What is the LCM of 111, 119, 435, 522?

Answer: LCM of 111, 119, 435, 522 is 11491830.

2. How to calculate the LCM of 111, 119, 435, 522?

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 111, 119, 435, 522.

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}.