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LCM of 483, 900, 508, 253

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


Find the LCM of 483, 900, 508, 253 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 483, 900, 508, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 483,900,508,253

Given numbers are 483,900,508,253

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

The LCM of 483,900,508,253 is 202425300.

Find LCM of 483,900,508,253 with Prime Factorization


2 483, 900, 508, 253
2 483, 450, 254, 253
3 483, 225, 127, 253
23 161, 75, 127, 253
7, 75, 127, 11

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

2 x 2 x 3 x 23 x 7 x 75 x 127 x 11 = 202425300

Therefore, the lowest common multiple of 483,900,508,253 is 202425300.

LCM Formula to Find Lowest Common Multiple of 483,900,508,253

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.

483 x 900 x 508 x 253 = 55869382800

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.

483 : 1, 3, 7, 21, 23, 69, 161, 483

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

508 : 1, 2, 4, 127, 254, 508

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,900,508,253, is 1.

Now, the common factors can be found like this.

483:3x 7x 23

900:2x 2x 3x 3x 5x 5

508:2x 2x 127

253:11x 23

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 55869382800/(1x276)

LCM = 55869382800/276

LCM = 202425300

Thus, we can understand that the LCM of 483,900,508,253 is 202425300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 483, 900, 508, 253

1. What is the LCM of 483, 900, 508, 253?

Answer: LCM of 483, 900, 508, 253 is 202425300.

2. How to calculate the LCM of 483, 900, 508, 253?

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 483, 900, 508, 253.

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}.