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LCM of 273, 962, 952, 903, 483

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


Find the LCM of 273, 962, 952, 903, 483 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 273, 962, 952, 903, 483. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 273,962,952,903,483

Given numbers are 273,962,952,903,483

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

The LCM of 273,962,952,903,483 is 1358624904.

Find LCM of 273,962,952,903,483 with Prime Factorization


2 273, 962, 952, 903, 483
3 273, 481, 476, 903, 483
7 91, 481, 476, 301, 161
13 13, 481, 68, 43, 23
1, 37, 68, 43, 23

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

2 x 3 x 7 x 13 x 1 x 37 x 68 x 43 x 23 = 1358624904

Therefore, the lowest common multiple of 273,962,952,903,483 is 1358624904.

LCM Formula to Find Lowest Common Multiple of 273,962,952,903,483

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.

273 x 962 x 952 x 903 x 483 = 109045952044848

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

962 : 1, 2, 13, 26, 37, 74, 481, 962

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

903 : 1, 3, 7, 21, 43, 129, 301, 903

483 : 1, 3, 7, 21, 23, 69, 161, 483

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,962,952,903,483, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

962:2x 13x 37

952:2x 2x 2x 7x 17

903:3x 7x 43

483:3x 7x 23

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 7x 7x 7x 13 = 80262

Therefore, the value for common factors is 80262.

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 = 109045952044848/(1x80262)

LCM = 109045952044848/80262

LCM = 1358624904

Thus, we can understand that the LCM of 273,962,952,903,483 is 1358624904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 273, 962, 952, 903, 483

1. What is the LCM of 273, 962, 952, 903, 483?

Answer: LCM of 273, 962, 952, 903, 483 is 1358624904.

2. How to calculate the LCM of 273, 962, 952, 903, 483?

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 273, 962, 952, 903, 483.

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}.