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LCM of 205, 334, 746, 442

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


Find the LCM of 205, 334, 746, 442 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 205, 334, 746, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 205,334,746,442

Given numbers are 205,334,746,442

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

The LCM of 205,334,746,442 is 5644187510.

Find LCM of 205,334,746,442 with Prime Factorization


2 205, 334, 746, 442
205, 167, 373, 221

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

2 x 205 x 167 x 373 x 221 = 5644187510

Therefore, the lowest common multiple of 205,334,746,442 is 5644187510.

LCM Formula to Find Lowest Common Multiple of 205,334,746,442

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.

205 x 334 x 746 x 442 = 22576750040

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.

205 : 1, 5, 41, 205

334 : 1, 2, 167, 334

746 : 1, 2, 373, 746

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,334,746,442, is 1.

Now, the common factors can be found like this.

205:5x 41

334:2x 167

746:2x 373

442:2x 13x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 22576750040/(1x4)

LCM = 22576750040/4

LCM = 5644187510

Thus, we can understand that the LCM of 205,334,746,442 is 5644187510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 205, 334, 746, 442

1. What is the LCM of 205, 334, 746, 442?

Answer: LCM of 205, 334, 746, 442 is 5644187510.

2. How to calculate the LCM of 205, 334, 746, 442?

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 205, 334, 746, 442.

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}.