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LCM of 660, 601, 385, 293

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


Find the LCM of 660, 601, 385, 293 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 660, 601, 385, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 660,601,385,293

Given numbers are 660,601,385,293

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

The LCM of 660,601,385,293 is 813549660.

Find LCM of 660,601,385,293 with Prime Factorization


5 660, 601, 385, 293
11 132, 601, 77, 293
12, 601, 7, 293

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

5 x 11 x 12 x 601 x 7 x 293 = 813549660

Therefore, the lowest common multiple of 660,601,385,293 is 813549660.

LCM Formula to Find Lowest Common Multiple of 660,601,385,293

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.

660 x 601 x 385 x 293 = 44745231300

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

601 : 1, 601

385 : 1, 5, 7, 11, 35, 55, 77, 385

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,601,385,293, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

601:601

385:5x 7x 11

293:293

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 44745231300/(1x55)

LCM = 44745231300/55

LCM = 813549660

Thus, we can understand that the LCM of 660,601,385,293 is 813549660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 660, 601, 385, 293

1. What is the LCM of 660, 601, 385, 293?

Answer: LCM of 660, 601, 385, 293 is 813549660.

2. How to calculate the LCM of 660, 601, 385, 293?

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 660, 601, 385, 293.

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}.