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LCM of 487, 464, 922, 203

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


Find the LCM of 487, 464, 922, 203 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 487, 464, 922, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,464,922,203

Given numbers are 487,464,922,203

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

The LCM of 487,464,922,203 is 729198736.

Find LCM of 487,464,922,203 with Prime Factorization


2 487, 464, 922, 203
29 487, 232, 461, 203
487, 8, 461, 7

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

2 x 29 x 487 x 8 x 461 x 7 = 729198736

Therefore, the lowest common multiple of 487,464,922,203 is 729198736.

LCM Formula to Find Lowest Common Multiple of 487,464,922,203

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.

487 x 464 x 922 x 203 = 42293526688

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.

487 : 1, 487

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

922 : 1, 2, 461, 922

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,464,922,203, is 1.

Now, the common factors can be found like this.

487:487

464:2x 2x 2x 2x 29

922:2x 461

203:7x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 42293526688/(1x58)

LCM = 42293526688/58

LCM = 729198736

Thus, we can understand that the LCM of 487,464,922,203 is 729198736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 464, 922, 203

1. What is the LCM of 487, 464, 922, 203?

Answer: LCM of 487, 464, 922, 203 is 729198736.

2. How to calculate the LCM of 487, 464, 922, 203?

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 487, 464, 922, 203.

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}.