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LCM of 471, 471, 875, 629

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


Find the LCM of 471, 471, 875, 629 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 471, 471, 875, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 471,471,875,629

Given numbers are 471,471,875,629

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

The LCM of 471,471,875,629 is 259226625.

Find LCM of 471,471,875,629 with Prime Factorization


3 471, 471, 875, 629
157 157, 157, 875, 629
1, 1, 875, 629

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

3 x 157 x 1 x 1 x 875 x 629 = 259226625

Therefore, the lowest common multiple of 471,471,875,629 is 259226625.

LCM Formula to Find Lowest Common Multiple of 471,471,875,629

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.

471 x 471 x 875 x 629 = 122095740375

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.

471 : 1, 3, 157, 471

471 : 1, 3, 157, 471

875 : 1, 5, 7, 25, 35, 125, 175, 875

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,471,875,629, is 1.

Now, the common factors can be found like this.

471:3x 157

471:3x 157

875:5x 5x 5x 7

629:17x 37

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

3x 157 = 471

Therefore, the value for common factors is 471.

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 = 122095740375/(1x471)

LCM = 122095740375/471

LCM = 259226625

Thus, we can understand that the LCM of 471,471,875,629 is 259226625.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 471, 471, 875, 629

1. What is the LCM of 471, 471, 875, 629?

Answer: LCM of 471, 471, 875, 629 is 259226625.

2. How to calculate the LCM of 471, 471, 875, 629?

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 471, 471, 875, 629.

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}.