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LCM of 854, 467, 260, 925

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


Find the LCM of 854, 467, 260, 925 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 854, 467, 260, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,467,260,925

Given numbers are 854,467,260,925

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

The LCM of 854,467,260,925 is 9591572900.

Find LCM of 854,467,260,925 with Prime Factorization


2 854, 467, 260, 925
5 427, 467, 130, 925
427, 467, 26, 185

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

2 x 5 x 427 x 467 x 26 x 185 = 9591572900

Therefore, the lowest common multiple of 854,467,260,925 is 9591572900.

LCM Formula to Find Lowest Common Multiple of 854,467,260,925

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.

854 x 467 x 260 x 925 = 95915729000

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

467 : 1, 467

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,467,260,925, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

467:467

260:2x 2x 5x 13

925:5x 5x 37

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 95915729000/(1x10)

LCM = 95915729000/10

LCM = 9591572900

Thus, we can understand that the LCM of 854,467,260,925 is 9591572900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 467, 260, 925

1. What is the LCM of 854, 467, 260, 925?

Answer: LCM of 854, 467, 260, 925 is 9591572900.

2. How to calculate the LCM of 854, 467, 260, 925?

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 854, 467, 260, 925.

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}.