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LCM of 221, 381, 187, 402

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


Find the LCM of 221, 381, 187, 402 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, 381, 187, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,381,187,402

Given numbers are 221,381,187,402

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

The LCM of 221,381,187,402 is 124112274.

Find LCM of 221,381,187,402 with Prime Factorization


3 221, 381, 187, 402
17 221, 127, 187, 134
13, 127, 11, 134

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

3 x 17 x 13 x 127 x 11 x 134 = 124112274

Therefore, the lowest common multiple of 221,381,187,402 is 124112274.

LCM Formula to Find Lowest Common Multiple of 221,381,187,402

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 381 x 187 x 402 = 6329725974

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

381 : 1, 3, 127, 381

187 : 1, 11, 17, 187

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,381,187,402, is 1.

Now, the common factors can be found like this.

221:13x 17

381:3x 127

187:11x 17

402:2x 3x 67

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 6329725974/(1x51)

LCM = 6329725974/51

LCM = 124112274

Thus, we can understand that the LCM of 221,381,187,402 is 124112274.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 381, 187, 402

1. What is the LCM of 221, 381, 187, 402?

Answer: LCM of 221, 381, 187, 402 is 124112274.

2. How to calculate the LCM of 221, 381, 187, 402?

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, 381, 187, 402.

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}.