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LCM of 455, 867, 381, 127

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


Find the LCM of 455, 867, 381, 127 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 455, 867, 381, 127. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 455,867,381,127

Given numbers are 455,867,381,127

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

The LCM of 455,867,381,127 is 50099595.

Find LCM of 455,867,381,127 with Prime Factorization


3 455, 867, 381, 127
127 455, 289, 127, 127
455, 289, 1, 1

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

3 x 127 x 455 x 289 x 1 x 1 = 50099595

Therefore, the lowest common multiple of 455,867,381,127 is 50099595.

LCM Formula to Find Lowest Common Multiple of 455,867,381,127

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.

455 x 867 x 381 x 127 = 19087945695

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.

455 : 1, 5, 7, 13, 35, 65, 91, 455

867 : 1, 3, 17, 51, 289, 867

381 : 1, 3, 127, 381

127 : 1, 127

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,867,381,127, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

867:3x 17x 17

381:3x 127

127:127

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

3x 127 = 381

Therefore, the value for common factors is 381.

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 = 19087945695/(1x381)

LCM = 19087945695/381

LCM = 50099595

Thus, we can understand that the LCM of 455,867,381,127 is 50099595.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 455, 867, 381, 127

1. What is the LCM of 455, 867, 381, 127?

Answer: LCM of 455, 867, 381, 127 is 50099595.

2. How to calculate the LCM of 455, 867, 381, 127?

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 455, 867, 381, 127.

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}.