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LCM of 435, 247, 936, 633, 197

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


Find the LCM of 435, 247, 936, 633, 197 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 435, 247, 936, 633, 197. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 435,247,936,633,197

Given numbers are 435,247,936,633,197

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

The LCM of 435,247,936,633,197 is 107187991560.

Find LCM of 435,247,936,633,197 with Prime Factorization


3 435, 247, 936, 633, 197
13 145, 247, 312, 211, 197
145, 19, 24, 211, 197

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

3 x 13 x 145 x 19 x 24 x 211 x 197 = 107187991560

Therefore, the lowest common multiple of 435,247,936,633,197 is 107187991560.

LCM Formula to Find Lowest Common Multiple of 435,247,936,633,197

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.

435 x 247 x 936 x 633 x 197 = 12540995012520

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.

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

247 : 1, 13, 19, 247

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

633 : 1, 3, 211, 633

197 : 1, 197

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,247,936,633,197, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

247:13x 19

936:2x 2x 2x 3x 3x 13

633:3x 211

197:197

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 13 = 117

Therefore, the value for common factors is 117.

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 = 12540995012520/(1x117)

LCM = 12540995012520/117

LCM = 107187991560

Thus, we can understand that the LCM of 435,247,936,633,197 is 107187991560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 435, 247, 936, 633, 197

1. What is the LCM of 435, 247, 936, 633, 197?

Answer: LCM of 435, 247, 936, 633, 197 is 107187991560.

2. How to calculate the LCM of 435, 247, 936, 633, 197?

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 435, 247, 936, 633, 197.

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}.