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LCM of 224, 663, 190, 242

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


Find the LCM of 224, 663, 190, 242 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 224, 663, 190, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 224,663,190,242

Given numbers are 224,663,190,242

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

The LCM of 224,663,190,242 is 1707145440.

Find LCM of 224,663,190,242 with Prime Factorization


2 224, 663, 190, 242
112, 663, 95, 121

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

2 x 112 x 663 x 95 x 121 = 1707145440

Therefore, the lowest common multiple of 224,663,190,242 is 1707145440.

LCM Formula to Find Lowest Common Multiple of 224,663,190,242

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.

224 x 663 x 190 x 242 = 6828581760

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

663 : 1, 3, 13, 17, 39, 51, 221, 663

190 : 1, 2, 5, 10, 19, 38, 95, 190

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,663,190,242, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

663:3x 13x 17

190:2x 5x 19

242:2x 11x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6828581760/(1x4)

LCM = 6828581760/4

LCM = 1707145440

Thus, we can understand that the LCM of 224,663,190,242 is 1707145440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 224, 663, 190, 242

1. What is the LCM of 224, 663, 190, 242?

Answer: LCM of 224, 663, 190, 242 is 1707145440.

2. How to calculate the LCM of 224, 663, 190, 242?

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 224, 663, 190, 242.

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}.