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LCM of 112, 133, 566, 119

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


Find the LCM of 112, 133, 566, 119 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 112, 133, 566, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 112,133,566,119

Given numbers are 112,133,566,119

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

The LCM of 112,133,566,119 is 10237808.

Find LCM of 112,133,566,119 with Prime Factorization


2 112, 133, 566, 119
7 56, 133, 283, 119
8, 19, 283, 17

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

2 x 7 x 8 x 19 x 283 x 17 = 10237808

Therefore, the lowest common multiple of 112,133,566,119 is 10237808.

LCM Formula to Find Lowest Common Multiple of 112,133,566,119

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.

112 x 133 x 566 x 119 = 1003305184

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

133 : 1, 7, 19, 133

566 : 1, 2, 283, 566

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,133,566,119, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

133:7x 19

566:2x 283

119:7x 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 7x 7 = 98

Therefore, the value for common factors is 98.

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 = 1003305184/(1x98)

LCM = 1003305184/98

LCM = 10237808

Thus, we can understand that the LCM of 112,133,566,119 is 10237808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 112, 133, 566, 119

1. What is the LCM of 112, 133, 566, 119?

Answer: LCM of 112, 133, 566, 119 is 10237808.

2. How to calculate the LCM of 112, 133, 566, 119?

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 112, 133, 566, 119.

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}.