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LCM of 400, 517, 225, 203

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


Find the LCM of 400, 517, 225, 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 400, 517, 225, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 400,517,225,203

Given numbers are 400,517,225,203

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

The LCM of 400,517,225,203 is 377823600.

Find LCM of 400,517,225,203 with Prime Factorization


5 400, 517, 225, 203
5 80, 517, 45, 203
16, 517, 9, 203

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

5 x 5 x 16 x 517 x 9 x 203 = 377823600

Therefore, the lowest common multiple of 400,517,225,203 is 377823600.

LCM Formula to Find Lowest Common Multiple of 400,517,225,203

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.

400 x 517 x 225 x 203 = 9445590000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

517 : 1, 11, 47, 517

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,517,225,203, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

517:11x 47

225:3x 3x 5x 5

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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 9445590000/(1x25)

LCM = 9445590000/25

LCM = 377823600

Thus, we can understand that the LCM of 400,517,225,203 is 377823600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 400, 517, 225, 203

1. What is the LCM of 400, 517, 225, 203?

Answer: LCM of 400, 517, 225, 203 is 377823600.

2. How to calculate the LCM of 400, 517, 225, 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 400, 517, 225, 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}.