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LCM of 203, 104, 564, 387

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


Find the LCM of 203, 104, 564, 387 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 203, 104, 564, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 203,104,564,387

Given numbers are 203,104,564,387

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

The LCM of 203,104,564,387 is 384006168.

Find LCM of 203,104,564,387 with Prime Factorization


2 203, 104, 564, 387
2 203, 52, 282, 387
3 203, 26, 141, 387
203, 26, 47, 129

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

2 x 2 x 3 x 203 x 26 x 47 x 129 = 384006168

Therefore, the lowest common multiple of 203,104,564,387 is 384006168.

LCM Formula to Find Lowest Common Multiple of 203,104,564,387

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.

203 x 104 x 564 x 387 = 4608074016

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.

203 : 1, 7, 29, 203

104 : 1, 2, 4, 8, 13, 26, 52, 104

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,104,564,387, is 1.

Now, the common factors can be found like this.

203:7x 29

104:2x 2x 2x 13

564:2x 2x 3x 47

387:3x 3x 43

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 3 = 12

Therefore, the value for common factors is 12.

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 = 4608074016/(1x12)

LCM = 4608074016/12

LCM = 384006168

Thus, we can understand that the LCM of 203,104,564,387 is 384006168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 203, 104, 564, 387

1. What is the LCM of 203, 104, 564, 387?

Answer: LCM of 203, 104, 564, 387 is 384006168.

2. How to calculate the LCM of 203, 104, 564, 387?

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 203, 104, 564, 387.

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}.