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LCM of 221, 889, 124, 373, 238

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


Find the LCM of 221, 889, 124, 373, 238 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, 889, 124, 373, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,889,124,373,238

Given numbers are 221,889,124,373,238

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

The LCM of 221,889,124,373,238 is 9087084188.

Find LCM of 221,889,124,373,238 with Prime Factorization


2 221, 889, 124, 373, 238
7 221, 889, 62, 373, 119
17 221, 127, 62, 373, 17
13, 127, 62, 373, 1

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

2 x 7 x 17 x 13 x 127 x 62 x 373 x 1 = 9087084188

Therefore, the lowest common multiple of 221,889,124,373,238 is 9087084188.

LCM Formula to Find Lowest Common Multiple of 221,889,124,373,238

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 889 x 124 x 373 x 238 = 2162726036744

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

889 : 1, 7, 127, 889

124 : 1, 2, 4, 31, 62, 124

373 : 1, 373

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,889,124,373,238, is 1.

Now, the common factors can be found like this.

221:13x 17

889:7x 127

124:2x 2x 31

373:373

238:2x 7x 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 7x 17 = 238

Therefore, the value for common factors is 238.

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 = 2162726036744/(1x238)

LCM = 2162726036744/238

LCM = 9087084188

Thus, we can understand that the LCM of 221,889,124,373,238 is 9087084188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 889, 124, 373, 238

1. What is the LCM of 221, 889, 124, 373, 238?

Answer: LCM of 221, 889, 124, 373, 238 is 9087084188.

2. How to calculate the LCM of 221, 889, 124, 373, 238?

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, 889, 124, 373, 238.

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}.