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LCM of 221, 942, 731, 161, 334

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


Find the LCM of 221, 942, 731, 161, 334 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 221, 942, 731, 161, 334. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,942,731,161,334

Given numbers are 221,942,731,161,334

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

The LCM of 221,942,731,161,334 is 240687745662.

Find LCM of 221,942,731,161,334 with Prime Factorization


2 221, 942, 731, 161, 334
17 221, 471, 731, 161, 167
13, 471, 43, 161, 167

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

2 x 17 x 13 x 471 x 43 x 161 x 167 = 240687745662

Therefore, the lowest common multiple of 221,942,731,161,334 is 240687745662.

LCM Formula to Find Lowest Common Multiple of 221,942,731,161,334

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.

221 x 942 x 731 x 161 x 334 = 8183383352508

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.

221 : 1, 13, 17, 221

942 : 1, 2, 3, 6, 157, 314, 471, 942

731 : 1, 17, 43, 731

161 : 1, 7, 23, 161

334 : 1, 2, 167, 334

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,942,731,161,334, is 1.

Now, the common factors can be found like this.

221:13x 17

942:2x 3x 157

731:17x 43

161:7x 23

334:2x 167

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 8183383352508/(1x34)

LCM = 8183383352508/34

LCM = 240687745662

Thus, we can understand that the LCM of 221,942,731,161,334 is 240687745662.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 942, 731, 161, 334

1. What is the LCM of 221, 942, 731, 161, 334?

Answer: LCM of 221, 942, 731, 161, 334 is 240687745662.

2. How to calculate the LCM of 221, 942, 731, 161, 334?

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 221, 942, 731, 161, 334.

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}.