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LCM of 300, 564, 129, 420

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


Find the LCM of 300, 564, 129, 420 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, 564, 129, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 300,564,129,420

Given numbers are 300,564,129,420

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

The LCM of 300,564,129,420 is 4244100.

Find LCM of 300,564,129,420 with Prime Factorization


2 300, 564, 129, 420
2 150, 282, 129, 210
3 75, 141, 129, 105
5 25, 47, 43, 35
5, 47, 43, 7

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

2 x 2 x 3 x 5 x 5 x 47 x 43 x 7 = 4244100

Therefore, the lowest common multiple of 300,564,129,420 is 4244100.

LCM Formula to Find Lowest Common Multiple of 300,564,129,420

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 564 x 129 x 420 = 9167256000

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

129 : 1, 3, 43, 129

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,564,129,420, is 3.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

564:2x 2x 3x 47

129:3x 43

420:2x 2x 3x 5x 7

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 9167256000/(3x720)

LCM = 9167256000/2160

LCM = 4244100

Thus, we can understand that the LCM of 300,564,129,420 is 4244100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 300, 564, 129, 420

1. What is the LCM of 300, 564, 129, 420?

Answer: LCM of 300, 564, 129, 420 is 4244100.

2. How to calculate the LCM of 300, 564, 129, 420?

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, 564, 129, 420.

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}.