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LCM of 678, 923, 904, 478

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


Find the LCM of 678, 923, 904, 478 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 678, 923, 904, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,923,904,478

Given numbers are 678,923,904,478

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

The LCM of 678,923,904,478 is 598259064.

Find LCM of 678,923,904,478 with Prime Factorization


2 678, 923, 904, 478
113 339, 923, 452, 239
3, 923, 4, 239

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

2 x 113 x 3 x 923 x 4 x 239 = 598259064

Therefore, the lowest common multiple of 678,923,904,478 is 598259064.

LCM Formula to Find Lowest Common Multiple of 678,923,904,478

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.

678 x 923 x 904 x 478 = 270413096928

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

923 : 1, 13, 71, 923

904 : 1, 2, 4, 8, 113, 226, 452, 904

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,923,904,478, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

923:13x 71

904:2x 2x 2x 113

478:2x 239

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

2x 2x 113 = 452

Therefore, the value for common factors is 452.

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 = 270413096928/(1x452)

LCM = 270413096928/452

LCM = 598259064

Thus, we can understand that the LCM of 678,923,904,478 is 598259064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 923, 904, 478

1. What is the LCM of 678, 923, 904, 478?

Answer: LCM of 678, 923, 904, 478 is 598259064.

2. How to calculate the LCM of 678, 923, 904, 478?

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 678, 923, 904, 478.

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}.