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LCM of 248, 358, 979, 485, 933

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


Find the LCM of 248, 358, 979, 485, 933 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 248, 358, 979, 485, 933. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 248,358,979,485,933

Given numbers are 248,358,979,485,933

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

The LCM of 248,358,979,485,933 is 19665762318840.

Find LCM of 248,358,979,485,933 with Prime Factorization


2 248, 358, 979, 485, 933
124, 179, 979, 485, 933

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

2 x 124 x 179 x 979 x 485 x 933 = 19665762318840

Therefore, the lowest common multiple of 248,358,979,485,933 is 19665762318840.

LCM Formula to Find Lowest Common Multiple of 248,358,979,485,933

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.

248 x 358 x 979 x 485 x 933 = 39331524637680

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

358 : 1, 2, 179, 358

979 : 1, 11, 89, 979

485 : 1, 5, 97, 485

933 : 1, 3, 311, 933

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,358,979,485,933, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

358:2x 179

979:11x 89

485:5x 97

933:3x 311

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

2 = 2

Therefore, the value for common factors is 2.

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 = 39331524637680/(1x2)

LCM = 39331524637680/2

LCM = 19665762318840

Thus, we can understand that the LCM of 248,358,979,485,933 is 19665762318840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 248, 358, 979, 485, 933

1. What is the LCM of 248, 358, 979, 485, 933?

Answer: LCM of 248, 358, 979, 485, 933 is 19665762318840.

2. How to calculate the LCM of 248, 358, 979, 485, 933?

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 248, 358, 979, 485, 933.

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}.