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LCM of 319, 117, 766, 793, 769

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


Find the LCM of 319, 117, 766, 793, 769 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 319, 117, 766, 793, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,117,766,793,769

Given numbers are 319,117,766,793,769

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

The LCM of 319,117,766,793,769 is 1341101008962.

Find LCM of 319,117,766,793,769 with Prime Factorization


13 319, 117, 766, 793, 769
319, 9, 766, 61, 769

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

13 x 319 x 9 x 766 x 61 x 769 = 1341101008962

Therefore, the lowest common multiple of 319,117,766,793,769 is 1341101008962.

LCM Formula to Find Lowest Common Multiple of 319,117,766,793,769

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.

319 x 117 x 766 x 793 x 769 = 17434313116506

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.

319 : 1, 11, 29, 319

117 : 1, 3, 9, 13, 39, 117

766 : 1, 2, 383, 766

793 : 1, 13, 61, 793

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,117,766,793,769, is 1.

Now, the common factors can be found like this.

319:11x 29

117:3x 3x 13

766:2x 383

793:13x 61

769:769

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

13 = 13

Therefore, the value for common factors is 13.

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 = 17434313116506/(1x13)

LCM = 17434313116506/13

LCM = 1341101008962

Thus, we can understand that the LCM of 319,117,766,793,769 is 1341101008962.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 117, 766, 793, 769

1. What is the LCM of 319, 117, 766, 793, 769?

Answer: LCM of 319, 117, 766, 793, 769 is 1341101008962.

2. How to calculate the LCM of 319, 117, 766, 793, 769?

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 319, 117, 766, 793, 769.

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}.