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LCM of 103, 143, 962, 273

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


Find the LCM of 103, 143, 962, 273 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 103, 143, 962, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,143,962,273

Given numbers are 103,143,962,273

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

The LCM of 103,143,962,273 is 22888866.

Find LCM of 103,143,962,273 with Prime Factorization


13 103, 143, 962, 273
103, 11, 74, 21

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

13 x 103 x 11 x 74 x 21 = 22888866

Therefore, the lowest common multiple of 103,143,962,273 is 22888866.

LCM Formula to Find Lowest Common Multiple of 103,143,962,273

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.

103 x 143 x 962 x 273 = 3868218354

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.

103 : 1, 103

143 : 1, 11, 13, 143

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,143,962,273, is 1.

Now, the common factors can be found like this.

103:103

143:11x 13

962:2x 13x 37

273:3x 7x 13

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 3868218354/(1x169)

LCM = 3868218354/169

LCM = 22888866

Thus, we can understand that the LCM of 103,143,962,273 is 22888866.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 143, 962, 273

1. What is the LCM of 103, 143, 962, 273?

Answer: LCM of 103, 143, 962, 273 is 22888866.

2. How to calculate the LCM of 103, 143, 962, 273?

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 103, 143, 962, 273.

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}.