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LCM of 790, 271, 944, 948

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


Find the LCM of 790, 271, 944, 948 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 790, 271, 944, 948. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 790,271,944,948

Given numbers are 790,271,944,948

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

The LCM of 790,271,944,948 is 303151440.

Find LCM of 790,271,944,948 with Prime Factorization


2 790, 271, 944, 948
2 395, 271, 472, 474
79 395, 271, 236, 237
5, 271, 236, 3

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

2 x 2 x 79 x 5 x 271 x 236 x 3 = 303151440

Therefore, the lowest common multiple of 790,271,944,948 is 303151440.

LCM Formula to Find Lowest Common Multiple of 790,271,944,948

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.

790 x 271 x 944 x 948 = 191591710080

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

271 : 1, 271

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,271,944,948, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

271:271

944:2x 2x 2x 2x 59

948:2x 2x 3x 79

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 2x 79 = 632

Therefore, the value for common factors is 632.

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 = 191591710080/(1x632)

LCM = 191591710080/632

LCM = 303151440

Thus, we can understand that the LCM of 790,271,944,948 is 303151440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 790, 271, 944, 948

1. What is the LCM of 790, 271, 944, 948?

Answer: LCM of 790, 271, 944, 948 is 303151440.

2. How to calculate the LCM of 790, 271, 944, 948?

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 790, 271, 944, 948.

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}.