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LCM of 799, 977, 102, 957

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


Find the LCM of 799, 977, 102, 957 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 799, 977, 102, 957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 799,977,102,957

Given numbers are 799,977,102,957

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

The LCM of 799,977,102,957 is 1494112422.

Find LCM of 799,977,102,957 with Prime Factorization


3 799, 977, 102, 957
17 799, 977, 34, 319
47, 977, 2, 319

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

3 x 17 x 47 x 977 x 2 x 319 = 1494112422

Therefore, the lowest common multiple of 799,977,102,957 is 1494112422.

LCM Formula to Find Lowest Common Multiple of 799,977,102,957

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.

799 x 977 x 102 x 957 = 76199733522

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.

799 : 1, 17, 47, 799

977 : 1, 977

102 : 1, 2, 3, 6, 17, 34, 51, 102

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,977,102,957, is 1.

Now, the common factors can be found like this.

799:17x 47

977:977

102:2x 3x 17

957:3x 11x 29

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 76199733522/(1x51)

LCM = 76199733522/51

LCM = 1494112422

Thus, we can understand that the LCM of 799,977,102,957 is 1494112422.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 799, 977, 102, 957

1. What is the LCM of 799, 977, 102, 957?

Answer: LCM of 799, 977, 102, 957 is 1494112422.

2. How to calculate the LCM of 799, 977, 102, 957?

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 799, 977, 102, 957.

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}.