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LCM of 415, 293, 685, 535, 736

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


Find the LCM of 415, 293, 685, 535, 736 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 415, 293, 685, 535, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,293,685,535,736

Given numbers are 415,293,685,535,736

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

The LCM of 415,293,685,535,736 is 1311891373280.

Find LCM of 415,293,685,535,736 with Prime Factorization


5 415, 293, 685, 535, 736
83, 293, 137, 107, 736

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

5 x 83 x 293 x 137 x 107 x 736 = 1311891373280

Therefore, the lowest common multiple of 415,293,685,535,736 is 1311891373280.

LCM Formula to Find Lowest Common Multiple of 415,293,685,535,736

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.

415 x 293 x 685 x 535 x 736 = 32797284332000

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.

415 : 1, 5, 83, 415

293 : 1, 293

685 : 1, 5, 137, 685

535 : 1, 5, 107, 535

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,293,685,535,736, is 1.

Now, the common factors can be found like this.

415:5x 83

293:293

685:5x 137

535:5x 107

736:2x 2x 2x 2x 2x 23

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 32797284332000/(1x25)

LCM = 32797284332000/25

LCM = 1311891373280

Thus, we can understand that the LCM of 415,293,685,535,736 is 1311891373280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 293, 685, 535, 736

1. What is the LCM of 415, 293, 685, 535, 736?

Answer: LCM of 415, 293, 685, 535, 736 is 1311891373280.

2. How to calculate the LCM of 415, 293, 685, 535, 736?

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 415, 293, 685, 535, 736.

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}.