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LCM of 689, 789, 481, 254

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


Find the LCM of 689, 789, 481, 254 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 689, 789, 481, 254. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,789,481,254

Given numbers are 689,789,481,254

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

The LCM of 689,789,481,254 is 5108950158.

Find LCM of 689,789,481,254 with Prime Factorization


13 689, 789, 481, 254
53, 789, 37, 254

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

13 x 53 x 789 x 37 x 254 = 5108950158

Therefore, the lowest common multiple of 689,789,481,254 is 5108950158.

LCM Formula to Find Lowest Common Multiple of 689,789,481,254

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.

689 x 789 x 481 x 254 = 66416352054

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.

689 : 1, 13, 53, 689

789 : 1, 3, 263, 789

481 : 1, 13, 37, 481

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,789,481,254, is 1.

Now, the common factors can be found like this.

689:13x 53

789:3x 263

481:13x 37

254:2x 127

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 = 66416352054/(1x13)

LCM = 66416352054/13

LCM = 5108950158

Thus, we can understand that the LCM of 689,789,481,254 is 5108950158.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 789, 481, 254

1. What is the LCM of 689, 789, 481, 254?

Answer: LCM of 689, 789, 481, 254 is 5108950158.

2. How to calculate the LCM of 689, 789, 481, 254?

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 689, 789, 481, 254.

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}.