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LCM of 922, 327, 405, 472

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


Find the LCM of 922, 327, 405, 472 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 922, 327, 405, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,327,405,472

Given numbers are 922,327,405,472

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

The LCM of 922,327,405,472 is 9605598840.

Find LCM of 922,327,405,472 with Prime Factorization


2 922, 327, 405, 472
3 461, 327, 405, 236
461, 109, 135, 236

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

2 x 3 x 461 x 109 x 135 x 236 = 9605598840

Therefore, the lowest common multiple of 922,327,405,472 is 9605598840.

LCM Formula to Find Lowest Common Multiple of 922,327,405,472

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.

922 x 327 x 405 x 472 = 57633593040

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.

922 : 1, 2, 461, 922

327 : 1, 3, 109, 327

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,327,405,472, is 1.

Now, the common factors can be found like this.

922:2x 461

327:3x 109

405:3x 3x 3x 3x 5

472:2x 2x 2x 59

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 57633593040/(1x6)

LCM = 57633593040/6

LCM = 9605598840

Thus, we can understand that the LCM of 922,327,405,472 is 9605598840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 327, 405, 472

1. What is the LCM of 922, 327, 405, 472?

Answer: LCM of 922, 327, 405, 472 is 9605598840.

2. How to calculate the LCM of 922, 327, 405, 472?

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 922, 327, 405, 472.

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}.