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LCM of 381, 584, 427, 236

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


Find the LCM of 381, 584, 427, 236 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 381, 584, 427, 236. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,584,427,236

Given numbers are 381,584,427,236

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

The LCM of 381,584,427,236 is 5605543272.

Find LCM of 381,584,427,236 with Prime Factorization


2 381, 584, 427, 236
2 381, 292, 427, 118
381, 146, 427, 59

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

2 x 2 x 381 x 146 x 427 x 59 = 5605543272

Therefore, the lowest common multiple of 381,584,427,236 is 5605543272.

LCM Formula to Find Lowest Common Multiple of 381,584,427,236

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.

381 x 584 x 427 x 236 = 22422173088

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.

381 : 1, 3, 127, 381

584 : 1, 2, 4, 8, 73, 146, 292, 584

427 : 1, 7, 61, 427

236 : 1, 2, 4, 59, 118, 236

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,584,427,236, is 1.

Now, the common factors can be found like this.

381:3x 127

584:2x 2x 2x 73

427:7x 61

236:2x 2x 59

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 = 22422173088/(1x4)

LCM = 22422173088/4

LCM = 5605543272

Thus, we can understand that the LCM of 381,584,427,236 is 5605543272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 584, 427, 236

1. What is the LCM of 381, 584, 427, 236?

Answer: LCM of 381, 584, 427, 236 is 5605543272.

2. How to calculate the LCM of 381, 584, 427, 236?

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 381, 584, 427, 236.

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}.