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LCM of 960, 683, 335, 569

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


Find the LCM of 960, 683, 335, 569 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 960, 683, 335, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,683,335,569

Given numbers are 960,683,335,569

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

The LCM of 960,683,335,569 is 24996488640.

Find LCM of 960,683,335,569 with Prime Factorization


5 960, 683, 335, 569
192, 683, 67, 569

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

5 x 192 x 683 x 67 x 569 = 24996488640

Therefore, the lowest common multiple of 960,683,335,569 is 24996488640.

LCM Formula to Find Lowest Common Multiple of 960,683,335,569

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.

960 x 683 x 335 x 569 = 124982443200

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

683 : 1, 683

335 : 1, 5, 67, 335

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,683,335,569, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

683:683

335:5x 67

569:569

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

5 = 5

Therefore, the value for common factors is 5.

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 = 124982443200/(1x5)

LCM = 124982443200/5

LCM = 24996488640

Thus, we can understand that the LCM of 960,683,335,569 is 24996488640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 683, 335, 569

1. What is the LCM of 960, 683, 335, 569?

Answer: LCM of 960, 683, 335, 569 is 24996488640.

2. How to calculate the LCM of 960, 683, 335, 569?

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 960, 683, 335, 569.

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}.