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LCM of 906, 538, 716, 458, 458

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


Find the LCM of 906, 538, 716, 458, 458 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, 538, 716, 458, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,538,716,458,458

Given numbers are 906,538,716,458,458

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

The LCM of 906,538,716,458,458 is 19980161148.

Find LCM of 906,538,716,458,458 with Prime Factorization


2 906, 538, 716, 458, 458
229 453, 269, 358, 229, 229
453, 269, 358, 1, 1

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

2 x 229 x 453 x 269 x 358 x 1 x 1 = 19980161148

Therefore, the lowest common multiple of 906,538,716,458,458 is 19980161148.

LCM Formula to Find Lowest Common Multiple of 906,538,716,458,458

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 538 x 716 x 458 x 458 = 73207310446272

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

538 : 1, 2, 269, 538

716 : 1, 2, 4, 179, 358, 716

458 : 1, 2, 229, 458

458 : 1, 2, 229, 458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,538,716,458,458, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

538:2x 269

716:2x 2x 179

458:2x 229

458:2x 229

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 229 = 1832

Therefore, the value for common factors is 1832.

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 = 73207310446272/(2x1832)

LCM = 73207310446272/3664

LCM = 19980161148

Thus, we can understand that the LCM of 906,538,716,458,458 is 19980161148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 538, 716, 458, 458

1. What is the LCM of 906, 538, 716, 458, 458?

Answer: LCM of 906, 538, 716, 458, 458 is 19980161148.

2. How to calculate the LCM of 906, 538, 716, 458, 458?

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, 538, 716, 458, 458.

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}.