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LCM of 300, 404, 620, 269

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


Find the LCM of 300, 404, 620, 269 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 300, 404, 620, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 300,404,620,269

Given numbers are 300,404,620,269

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

The LCM of 300,404,620,269 is 252671700.

Find LCM of 300,404,620,269 with Prime Factorization


2 300, 404, 620, 269
2 150, 202, 310, 269
5 75, 101, 155, 269
15, 101, 31, 269

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

2 x 2 x 5 x 15 x 101 x 31 x 269 = 252671700

Therefore, the lowest common multiple of 300,404,620,269 is 252671700.

LCM Formula to Find Lowest Common Multiple of 300,404,620,269

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.

300 x 404 x 620 x 269 = 20213736000

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

404 : 1, 2, 4, 101, 202, 404

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,404,620,269, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

404:2x 2x 101

620:2x 2x 5x 31

269:269

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 2x 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 20213736000/(1x80)

LCM = 20213736000/80

LCM = 252671700

Thus, we can understand that the LCM of 300,404,620,269 is 252671700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 300, 404, 620, 269

1. What is the LCM of 300, 404, 620, 269?

Answer: LCM of 300, 404, 620, 269 is 252671700.

2. How to calculate the LCM of 300, 404, 620, 269?

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 300, 404, 620, 269.

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}.