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LCM of 442, 161, 621, 115, 734

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


Find the LCM of 442, 161, 621, 115, 734 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 442, 161, 621, 115, 734. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,161,621,115,734

Given numbers are 442,161,621,115,734

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

The LCM of 442,161,621,115,734 is 3525721290.

Find LCM of 442,161,621,115,734 with Prime Factorization


2 442, 161, 621, 115, 734
23 221, 161, 621, 115, 367
221, 7, 27, 5, 367

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

2 x 23 x 221 x 7 x 27 x 5 x 367 = 3525721290

Therefore, the lowest common multiple of 442,161,621,115,734 is 3525721290.

LCM Formula to Find Lowest Common Multiple of 442,161,621,115,734

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.

442 x 161 x 621 x 115 x 734 = 3730213124820

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.

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

161 : 1, 7, 23, 161

621 : 1, 3, 9, 23, 27, 69, 207, 621

115 : 1, 5, 23, 115

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,161,621,115,734, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

161:7x 23

621:3x 3x 3x 23

115:5x 23

734:2x 367

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 3730213124820/(1x1058)

LCM = 3730213124820/1058

LCM = 3525721290

Thus, we can understand that the LCM of 442,161,621,115,734 is 3525721290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 161, 621, 115, 734

1. What is the LCM of 442, 161, 621, 115, 734?

Answer: LCM of 442, 161, 621, 115, 734 is 3525721290.

2. How to calculate the LCM of 442, 161, 621, 115, 734?

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 442, 161, 621, 115, 734.

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}.