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LCM of 605, 692, 789, 969

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


Find the LCM of 605, 692, 789, 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 605, 692, 789, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,692,789,969

Given numbers are 605,692,789,969

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

The LCM of 605,692,789,969 is 106694245020.

Find LCM of 605,692,789,969 with Prime Factorization


3 605, 692, 789, 969
605, 692, 263, 323

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

3 x 605 x 692 x 263 x 323 = 106694245020

Therefore, the lowest common multiple of 605,692,789,969 is 106694245020.

LCM Formula to Find Lowest Common Multiple of 605,692,789,969

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.

605 x 692 x 789 x 969 = 320082735060

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.

605 : 1, 5, 11, 55, 121, 605

692 : 1, 2, 4, 173, 346, 692

789 : 1, 3, 263, 789

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 605,692,789,969, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

692:2x 2x 173

789:3x 263

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 320082735060/(1x3)

LCM = 320082735060/3

LCM = 106694245020

Thus, we can understand that the LCM of 605,692,789,969 is 106694245020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 605, 692, 789, 969

1. What is the LCM of 605, 692, 789, 969?

Answer: LCM of 605, 692, 789, 969 is 106694245020.

2. How to calculate the LCM of 605, 692, 789, 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 605, 692, 789, 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}.