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LCM of 456, 506, 442, 204, 994

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


Find the LCM of 456, 506, 442, 204, 994 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 456, 506, 442, 204, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 456,506,442,204,994

Given numbers are 456,506,442,204,994

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

The LCM of 456,506,442,204,994 is 12671675016.

Find LCM of 456,506,442,204,994 with Prime Factorization


2 456, 506, 442, 204, 994
2 228, 253, 221, 102, 497
3 114, 253, 221, 51, 497
17 38, 253, 221, 17, 497
38, 253, 13, 1, 497

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

2 x 2 x 3 x 17 x 38 x 253 x 13 x 1 x 497 = 12671675016

Therefore, the lowest common multiple of 456,506,442,204,994 is 12671675016.

LCM Formula to Find Lowest Common Multiple of 456,506,442,204,994

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.

456 x 506 x 442 x 204 x 994 = 20680173626112

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

994 : 1, 2, 7, 14, 71, 142, 497, 994

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,506,442,204,994, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

506:2x 11x 23

442:2x 13x 17

204:2x 2x 3x 17

994:2x 7x 71

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 2x 2x 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 20680173626112/(2x816)

LCM = 20680173626112/1632

LCM = 12671675016

Thus, we can understand that the LCM of 456,506,442,204,994 is 12671675016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 456, 506, 442, 204, 994

1. What is the LCM of 456, 506, 442, 204, 994?

Answer: LCM of 456, 506, 442, 204, 994 is 12671675016.

2. How to calculate the LCM of 456, 506, 442, 204, 994?

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 456, 506, 442, 204, 994.

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}.