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LCM of 450, 612, 153, 302

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


Find the LCM of 450, 612, 153, 302 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, 612, 153, 302. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 450,612,153,302

Given numbers are 450,612,153,302

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

The LCM of 450,612,153,302 is 2310300.

Find LCM of 450,612,153,302 with Prime Factorization


2 450, 612, 153, 302
3 225, 306, 153, 151
3 75, 102, 51, 151
17 25, 34, 17, 151
25, 2, 1, 151

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

2 x 3 x 3 x 17 x 25 x 2 x 1 x 151 = 2310300

Therefore, the lowest common multiple of 450,612,153,302 is 2310300.

LCM Formula to Find Lowest Common Multiple of 450,612,153,302

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 612 x 153 x 302 = 12725132400

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

302 : 1, 2, 151, 302

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,612,153,302, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

612:2x 2x 3x 3x 17

153:3x 3x 17

302:2x 151

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 3x 3x 3x 17 = 5508

Therefore, the value for common factors is 5508.

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 = 12725132400/(1x5508)

LCM = 12725132400/5508

LCM = 2310300

Thus, we can understand that the LCM of 450,612,153,302 is 2310300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 450, 612, 153, 302

1. What is the LCM of 450, 612, 153, 302?

Answer: LCM of 450, 612, 153, 302 is 2310300.

2. How to calculate the LCM of 450, 612, 153, 302?

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, 612, 153, 302.

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}.