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LCM of 927, 111, 681, 407, 414

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


Find the LCM of 927, 111, 681, 407, 414 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 927, 111, 681, 407, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 927,111,681,407,414

Given numbers are 927,111,681,407,414

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

The LCM of 927,111,681,407,414 is 3939651738.

Find LCM of 927,111,681,407,414 with Prime Factorization


3 927, 111, 681, 407, 414
3 309, 37, 227, 407, 138
37 103, 37, 227, 407, 46
103, 1, 227, 11, 46

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

3 x 3 x 37 x 103 x 1 x 227 x 11 x 46 = 3939651738

Therefore, the lowest common multiple of 927,111,681,407,414 is 3939651738.

LCM Formula to Find Lowest Common Multiple of 927,111,681,407,414

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.

927 x 111 x 681 x 407 x 414 = 11807136258786

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.

927 : 1, 3, 9, 103, 309, 927

111 : 1, 3, 37, 111

681 : 1, 3, 227, 681

407 : 1, 11, 37, 407

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,111,681,407,414, is 1.

Now, the common factors can be found like this.

927:3x 3x 103

111:3x 37

681:3x 227

407:11x 37

414:2x 3x 3x 23

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

3x 3x 3x 3x 37 = 2997

Therefore, the value for common factors is 2997.

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 = 11807136258786/(1x2997)

LCM = 11807136258786/2997

LCM = 3939651738

Thus, we can understand that the LCM of 927,111,681,407,414 is 3939651738.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 927, 111, 681, 407, 414

1. What is the LCM of 927, 111, 681, 407, 414?

Answer: LCM of 927, 111, 681, 407, 414 is 3939651738.

2. How to calculate the LCM of 927, 111, 681, 407, 414?

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 927, 111, 681, 407, 414.

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}.