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LCM of 450, 830, 239, 153

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


Find the LCM of 450, 830, 239, 153 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 450, 830, 239, 153. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 450,830,239,153

Given numbers are 450,830,239,153

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

The LCM of 450,830,239,153 is 151753050.

Find LCM of 450,830,239,153 with Prime Factorization


2 450, 830, 239, 153
3 225, 415, 239, 153
3 75, 415, 239, 51
5 25, 415, 239, 17
5, 83, 239, 17

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

2 x 3 x 3 x 5 x 5 x 83 x 239 x 17 = 151753050

Therefore, the lowest common multiple of 450,830,239,153 is 151753050.

LCM Formula to Find Lowest Common Multiple of 450,830,239,153

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.

450 x 830 x 239 x 153 = 13657774500

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

830 : 1, 2, 5, 10, 83, 166, 415, 830

239 : 1, 239

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,830,239,153, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

830:2x 5x 83

239:239

153:3x 3x 17

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

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 13657774500/(1x90)

LCM = 13657774500/90

LCM = 151753050

Thus, we can understand that the LCM of 450,830,239,153 is 151753050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 450, 830, 239, 153

1. What is the LCM of 450, 830, 239, 153?

Answer: LCM of 450, 830, 239, 153 is 151753050.

2. How to calculate the LCM of 450, 830, 239, 153?

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 450, 830, 239, 153.

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}.