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LCM of 967, 473, 495, 405, 273

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


Find the LCM of 967, 473, 495, 405, 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 967, 473, 495, 405, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,473,495,405,273

Given numbers are 967,473,495,405,273

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

The LCM of 967,473,495,405,273 is 16857145305.

Find LCM of 967,473,495,405,273 with Prime Factorization


3 967, 473, 495, 405, 273
3 967, 473, 165, 135, 91
5 967, 473, 55, 45, 91
11 967, 473, 11, 9, 91
967, 43, 1, 9, 91

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

3 x 3 x 5 x 11 x 967 x 43 x 1 x 9 x 91 = 16857145305

Therefore, the lowest common multiple of 967,473,495,405,273 is 16857145305.

LCM Formula to Find Lowest Common Multiple of 967,473,495,405,273

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.

967 x 473 x 495 x 405 x 273 = 25032860777925

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.

967 : 1, 967

473 : 1, 11, 43, 473

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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 967,473,495,405,273, is 1.

Now, the common factors can be found like this.

967:967

473:11x 43

495:3x 3x 5x 11

405:3x 3x 3x 3x 5

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.

3x 3x 3x 5x 11 = 1485

Therefore, the value for common factors is 1485.

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 = 25032860777925/(1x1485)

LCM = 25032860777925/1485

LCM = 16857145305

Thus, we can understand that the LCM of 967,473,495,405,273 is 16857145305.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 473, 495, 405, 273

1. What is the LCM of 967, 473, 495, 405, 273?

Answer: LCM of 967, 473, 495, 405, 273 is 16857145305.

2. How to calculate the LCM of 967, 473, 495, 405, 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 967, 473, 495, 405, 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}.