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LCM of 957, 281, 913, 791, 356

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


Find the LCM of 957, 281, 913, 791, 356 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 957, 281, 913, 791, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,281,913,791,356

Given numbers are 957,281,913,791,356

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

The LCM of 957,281,913,791,356 is 6285253977156.

Find LCM of 957,281,913,791,356 with Prime Factorization


11 957, 281, 913, 791, 356
87, 281, 83, 791, 356

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

11 x 87 x 281 x 83 x 791 x 356 = 6285253977156

Therefore, the lowest common multiple of 957,281,913,791,356 is 6285253977156.

LCM Formula to Find Lowest Common Multiple of 957,281,913,791,356

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.

957 x 281 x 913 x 791 x 356 = 69137793748716

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

281 : 1, 281

913 : 1, 11, 83, 913

791 : 1, 7, 113, 791

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,281,913,791,356, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

281:281

913:11x 83

791:7x 113

356:2x 2x 89

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

11 = 11

Therefore, the value for common factors is 11.

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 = 69137793748716/(1x11)

LCM = 69137793748716/11

LCM = 6285253977156

Thus, we can understand that the LCM of 957,281,913,791,356 is 6285253977156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 281, 913, 791, 356

1. What is the LCM of 957, 281, 913, 791, 356?

Answer: LCM of 957, 281, 913, 791, 356 is 6285253977156.

2. How to calculate the LCM of 957, 281, 913, 791, 356?

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 957, 281, 913, 791, 356.

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}.