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LCM of 391, 614, 409, 936

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


Find the LCM of 391, 614, 409, 936 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 391, 614, 409, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,614,409,936

Given numbers are 391,614,409,936

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

The LCM of 391,614,409,936 is 45953044488.

Find LCM of 391,614,409,936 with Prime Factorization


2 391, 614, 409, 936
391, 307, 409, 468

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

2 x 391 x 307 x 409 x 468 = 45953044488

Therefore, the lowest common multiple of 391,614,409,936 is 45953044488.

LCM Formula to Find Lowest Common Multiple of 391,614,409,936

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.

391 x 614 x 409 x 936 = 91906088976

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.

391 : 1, 17, 23, 391

614 : 1, 2, 307, 614

409 : 1, 409

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,614,409,936, is 1.

Now, the common factors can be found like this.

391:17x 23

614:2x 307

409:409

936:2x 2x 2x 3x 3x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 91906088976/(1x2)

LCM = 91906088976/2

LCM = 45953044488

Thus, we can understand that the LCM of 391,614,409,936 is 45953044488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 614, 409, 936

1. What is the LCM of 391, 614, 409, 936?

Answer: LCM of 391, 614, 409, 936 is 45953044488.

2. How to calculate the LCM of 391, 614, 409, 936?

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 391, 614, 409, 936.

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}.