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LCM of 134, 605, 276, 789

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


Find the LCM of 134, 605, 276, 789 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 134, 605, 276, 789. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 134,605,276,789

Given numbers are 134,605,276,789

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

The LCM of 134,605,276,789 is 2942354580.

Find LCM of 134,605,276,789 with Prime Factorization


2 134, 605, 276, 789
3 67, 605, 138, 789
67, 605, 46, 263

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

2 x 3 x 67 x 605 x 46 x 263 = 2942354580

Therefore, the lowest common multiple of 134,605,276,789 is 2942354580.

LCM Formula to Find Lowest Common Multiple of 134,605,276,789

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.

134 x 605 x 276 x 789 = 17654127480

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.

134 : 1, 2, 67, 134

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,605,276,789, is 1.

Now, the common factors can be found like this.

134:2x 67

605:5x 11x 11

276:2x 2x 3x 23

789:3x 263

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 17654127480/(1x6)

LCM = 17654127480/6

LCM = 2942354580

Thus, we can understand that the LCM of 134,605,276,789 is 2942354580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 134, 605, 276, 789

1. What is the LCM of 134, 605, 276, 789?

Answer: LCM of 134, 605, 276, 789 is 2942354580.

2. How to calculate the LCM of 134, 605, 276, 789?

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 134, 605, 276, 789.

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}.