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LCM of 197, 938, 211, 114, 788

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


Find the LCM of 197, 938, 211, 114, 788 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, 938, 211, 114, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,938,211,114,788

Given numbers are 197,938,211,114,788

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

The LCM of 197,938,211,114,788 is 4444842444.

Find LCM of 197,938,211,114,788 with Prime Factorization


2 197, 938, 211, 114, 788
197 197, 469, 211, 57, 394
1, 469, 211, 57, 2

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

2 x 197 x 1 x 469 x 211 x 57 x 2 = 4444842444

Therefore, the lowest common multiple of 197,938,211,114,788 is 4444842444.

LCM Formula to Find Lowest Common Multiple of 197,938,211,114,788

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 938 x 211 x 114 x 788 = 3502535845872

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

938 : 1, 2, 7, 14, 67, 134, 469, 938

211 : 1, 211

114 : 1, 2, 3, 6, 19, 38, 57, 114

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,938,211,114,788, is 1.

Now, the common factors can be found like this.

197:197

938:2x 7x 67

211:211

114:2x 3x 19

788:2x 2x 197

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 197 = 788

Therefore, the value for common factors is 788.

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 = 3502535845872/(1x788)

LCM = 3502535845872/788

LCM = 4444842444

Thus, we can understand that the LCM of 197,938,211,114,788 is 4444842444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 938, 211, 114, 788

1. What is the LCM of 197, 938, 211, 114, 788?

Answer: LCM of 197, 938, 211, 114, 788 is 4444842444.

2. How to calculate the LCM of 197, 938, 211, 114, 788?

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, 938, 211, 114, 788.

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}.