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LCM of 906, 381, 453, 143

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


Find the LCM of 906, 381, 453, 143 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 906, 381, 453, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,381,453,143

Given numbers are 906,381,453,143

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

The LCM of 906,381,453,143 is 16453866.

Find LCM of 906,381,453,143 with Prime Factorization


3 906, 381, 453, 143
151 302, 127, 151, 143
2, 127, 1, 143

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

3 x 151 x 2 x 127 x 1 x 143 = 16453866

Therefore, the lowest common multiple of 906,381,453,143 is 16453866.

LCM Formula to Find Lowest Common Multiple of 906,381,453,143

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.

906 x 381 x 453 x 143 = 22360803894

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

381 : 1, 3, 127, 381

453 : 1, 3, 151, 453

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,381,453,143, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

381:3x 127

453:3x 151

143:11x 13

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

3x 3x 151 = 1359

Therefore, the value for common factors is 1359.

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 = 22360803894/(1x1359)

LCM = 22360803894/1359

LCM = 16453866

Thus, we can understand that the LCM of 906,381,453,143 is 16453866.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 381, 453, 143

1. What is the LCM of 906, 381, 453, 143?

Answer: LCM of 906, 381, 453, 143 is 16453866.

2. How to calculate the LCM of 906, 381, 453, 143?

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 906, 381, 453, 143.

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}.