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LCM of 197, 303, 297, 210, 448

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


Find the LCM of 197, 303, 297, 210, 448 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 197, 303, 297, 210, 448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,303,297,210,448

Given numbers are 197,303,297,210,448

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

The LCM of 197,303,297,210,448 is 13237076160.

Find LCM of 197,303,297,210,448 with Prime Factorization


2 197, 303, 297, 210, 448
3 197, 303, 297, 105, 224
7 197, 101, 99, 35, 224
197, 101, 99, 5, 32

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

2 x 3 x 7 x 197 x 101 x 99 x 5 x 32 = 13237076160

Therefore, the lowest common multiple of 197,303,297,210,448 is 13237076160.

LCM Formula to Find Lowest Common Multiple of 197,303,297,210,448

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.

197 x 303 x 297 x 210 x 448 = 1667871596160

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.

197 : 1, 197

303 : 1, 3, 101, 303

297 : 1, 3, 9, 11, 27, 33, 99, 297

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,303,297,210,448, is 1.

Now, the common factors can be found like this.

197:197

303:3x 101

297:3x 3x 3x 11

210:2x 3x 5x 7

448:2x 2x 2x 2x 2x 2x 7

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 1667871596160/(1x126)

LCM = 1667871596160/126

LCM = 13237076160

Thus, we can understand that the LCM of 197,303,297,210,448 is 13237076160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 303, 297, 210, 448

1. What is the LCM of 197, 303, 297, 210, 448?

Answer: LCM of 197, 303, 297, 210, 448 is 13237076160.

2. How to calculate the LCM of 197, 303, 297, 210, 448?

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 197, 303, 297, 210, 448.

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}.