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LCM of 506, 894, 114, 414

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


Find the LCM of 506, 894, 114, 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 506, 894, 114, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,894,114,414

Given numbers are 506,894,114,414

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

The LCM of 506,894,114,414 is 12892374.

Find LCM of 506,894,114,414 with Prime Factorization


2 506, 894, 114, 414
3 253, 447, 57, 207
23 253, 149, 19, 69
11, 149, 19, 3

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

2 x 3 x 23 x 11 x 149 x 19 x 3 = 12892374

Therefore, the lowest common multiple of 506,894,114,414 is 12892374.

LCM Formula to Find Lowest Common Multiple of 506,894,114,414

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.

506 x 894 x 114 x 414 = 21349771344

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

894 : 1, 2, 3, 6, 149, 298, 447, 894

114 : 1, 2, 3, 6, 19, 38, 57, 114

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,894,114,414, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

894:2x 3x 149

114:2x 3x 19

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.

2x 2x 3x 3x 23 = 828

Therefore, the value for common factors is 828.

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 = 21349771344/(2x828)

LCM = 21349771344/1656

LCM = 12892374

Thus, we can understand that the LCM of 506,894,114,414 is 12892374.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 894, 114, 414

1. What is the LCM of 506, 894, 114, 414?

Answer: LCM of 506, 894, 114, 414 is 12892374.

2. How to calculate the LCM of 506, 894, 114, 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 506, 894, 114, 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}.