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LCM of 392, 897, 923, 473

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


Find the LCM of 392, 897, 923, 473 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 392, 897, 923, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,897,923,473

Given numbers are 392,897,923,473

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

The LCM of 392,897,923,473 is 11808588792.

Find LCM of 392,897,923,473 with Prime Factorization


13 392, 897, 923, 473
392, 69, 71, 473

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

13 x 392 x 69 x 71 x 473 = 11808588792

Therefore, the lowest common multiple of 392,897,923,473 is 11808588792.

LCM Formula to Find Lowest Common Multiple of 392,897,923,473

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.

392 x 897 x 923 x 473 = 153511654296

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

897 : 1, 3, 13, 23, 39, 69, 299, 897

923 : 1, 13, 71, 923

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,897,923,473, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

897:3x 13x 23

923:13x 71

473:11x 43

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

13 = 13

Therefore, the value for common factors is 13.

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 = 153511654296/(1x13)

LCM = 153511654296/13

LCM = 11808588792

Thus, we can understand that the LCM of 392,897,923,473 is 11808588792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 897, 923, 473

1. What is the LCM of 392, 897, 923, 473?

Answer: LCM of 392, 897, 923, 473 is 11808588792.

2. How to calculate the LCM of 392, 897, 923, 473?

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 392, 897, 923, 473.

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}.