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LCM of 447, 953, 381, 889

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


Find the LCM of 447, 953, 381, 889 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 447, 953, 381, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,953,381,889

Given numbers are 447,953,381,889

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

The LCM of 447,953,381,889 is 378705999.

Find LCM of 447,953,381,889 with Prime Factorization


3 447, 953, 381, 889
127 149, 953, 127, 889
149, 953, 1, 7

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

3 x 127 x 149 x 953 x 1 x 7 = 378705999

Therefore, the lowest common multiple of 447,953,381,889 is 378705999.

LCM Formula to Find Lowest Common Multiple of 447,953,381,889

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.

447 x 953 x 381 x 889 = 144286985619

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.

447 : 1, 3, 149, 447

953 : 1, 953

381 : 1, 3, 127, 381

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,953,381,889, is 1.

Now, the common factors can be found like this.

447:3x 149

953:953

381:3x 127

889:7x 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 = 144286985619/(1x381)

LCM = 144286985619/381

LCM = 378705999

Thus, we can understand that the LCM of 447,953,381,889 is 378705999.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 447, 953, 381, 889

1. What is the LCM of 447, 953, 381, 889?

Answer: LCM of 447, 953, 381, 889 is 378705999.

2. How to calculate the LCM of 447, 953, 381, 889?

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 447, 953, 381, 889.

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}.