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LCM of 713, 775, 199, 803, 969

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


Find the LCM of 713, 775, 199, 803, 969 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 713, 775, 199, 803, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,775,199,803,969

Given numbers are 713,775,199,803,969

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

The LCM of 713,775,199,803,969 is 2760081697725.

Find LCM of 713,775,199,803,969 with Prime Factorization


31 713, 775, 199, 803, 969
23, 25, 199, 803, 969

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

31 x 23 x 25 x 199 x 803 x 969 = 2760081697725

Therefore, the lowest common multiple of 713,775,199,803,969 is 2760081697725.

LCM Formula to Find Lowest Common Multiple of 713,775,199,803,969

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.

713 x 775 x 199 x 803 x 969 = 85562532629475

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.

713 : 1, 23, 31, 713

775 : 1, 5, 25, 31, 155, 775

199 : 1, 199

803 : 1, 11, 73, 803

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,775,199,803,969, is 1.

Now, the common factors can be found like this.

713:23x 31

775:5x 5x 31

199:199

803:11x 73

969:3x 17x 19

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

31 = 31

Therefore, the value for common factors is 31.

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 = 85562532629475/(1x31)

LCM = 85562532629475/31

LCM = 2760081697725

Thus, we can understand that the LCM of 713,775,199,803,969 is 2760081697725.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 775, 199, 803, 969

1. What is the LCM of 713, 775, 199, 803, 969?

Answer: LCM of 713, 775, 199, 803, 969 is 2760081697725.

2. How to calculate the LCM of 713, 775, 199, 803, 969?

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 713, 775, 199, 803, 969.

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}.