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LCM of 969, 391, 759, 782

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


Find the LCM of 969, 391, 759, 782 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 969, 391, 759, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,391,759,782

Given numbers are 969,391,759,782

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

The LCM of 969,391,759,782 is 490314.

Find LCM of 969,391,759,782 with Prime Factorization


3 969, 391, 759, 782
17 323, 391, 253, 782
23 19, 23, 253, 46
19, 1, 11, 2

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

3 x 17 x 23 x 19 x 1 x 11 x 2 = 490314

Therefore, the lowest common multiple of 969,391,759,782 is 490314.

LCM Formula to Find Lowest Common Multiple of 969,391,759,782

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.

969 x 391 x 759 x 782 = 224879083902

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

391 : 1, 17, 23, 391

759 : 1, 3, 11, 23, 33, 69, 253, 759

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,391,759,782, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

391:17x 23

759:3x 11x 23

782:2x 17x 23

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

3x 17x 17x 23x 23 = 458643

Therefore, the value for common factors is 458643.

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 = 224879083902/(1x458643)

LCM = 224879083902/458643

LCM = 490314

Thus, we can understand that the LCM of 969,391,759,782 is 490314.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 391, 759, 782

1. What is the LCM of 969, 391, 759, 782?

Answer: LCM of 969, 391, 759, 782 is 490314.

2. How to calculate the LCM of 969, 391, 759, 782?

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 969, 391, 759, 782.

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}.