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LCM of 632, 925, 458, 444, 614

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


Find the LCM of 632, 925, 458, 444, 614 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 632, 925, 458, 444, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 632,925,458,444,614

Given numbers are 632,925,458,444,614

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

The LCM of 632,925,458,444,614 is 123297401400.

Find LCM of 632,925,458,444,614 with Prime Factorization


2 632, 925, 458, 444, 614
2 316, 925, 229, 222, 307
37 158, 925, 229, 111, 307
158, 25, 229, 3, 307

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

2 x 2 x 37 x 158 x 25 x 229 x 3 x 307 = 123297401400

Therefore, the lowest common multiple of 632,925,458,444,614 is 123297401400.

LCM Formula to Find Lowest Common Multiple of 632,925,458,444,614

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.

632 x 925 x 458 x 444 x 614 = 72992061628800

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.

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

925 : 1, 5, 25, 37, 185, 925

458 : 1, 2, 229, 458

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,925,458,444,614, is 1.

Now, the common factors can be found like this.

632:2x 2x 2x 79

925:5x 5x 37

458:2x 229

444:2x 2x 3x 37

614:2x 307

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 2x 37 = 592

Therefore, the value for common factors is 592.

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 = 72992061628800/(1x592)

LCM = 72992061628800/592

LCM = 123297401400

Thus, we can understand that the LCM of 632,925,458,444,614 is 123297401400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 632, 925, 458, 444, 614

1. What is the LCM of 632, 925, 458, 444, 614?

Answer: LCM of 632, 925, 458, 444, 614 is 123297401400.

2. How to calculate the LCM of 632, 925, 458, 444, 614?

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 632, 925, 458, 444, 614.

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}.