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LCM of 906, 412, 177, 632

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


Find the LCM of 906, 412, 177, 632 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, 412, 177, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,412,177,632

Given numbers are 906,412,177,632

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

The LCM of 906,412,177,632 is 1739820792.

Find LCM of 906,412,177,632 with Prime Factorization


2 906, 412, 177, 632
2 453, 206, 177, 316
3 453, 103, 177, 158
151, 103, 59, 158

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

2 x 2 x 3 x 151 x 103 x 59 x 158 = 1739820792

Therefore, the lowest common multiple of 906,412,177,632 is 1739820792.

LCM Formula to Find Lowest Common Multiple of 906,412,177,632

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 412 x 177 x 632 = 41755699008

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

412 : 1, 2, 4, 103, 206, 412

177 : 1, 3, 59, 177

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,412,177,632, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

412:2x 2x 103

177:3x 59

632:2x 2x 2x 79

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 41755699008/(1x24)

LCM = 41755699008/24

LCM = 1739820792

Thus, we can understand that the LCM of 906,412,177,632 is 1739820792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 412, 177, 632

1. What is the LCM of 906, 412, 177, 632?

Answer: LCM of 906, 412, 177, 632 is 1739820792.

2. How to calculate the LCM of 906, 412, 177, 632?

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, 412, 177, 632.

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}.