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LCM of 300, 912, 163, 532

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


Find the LCM of 300, 912, 163, 532 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, 912, 163, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 300,912,163,532

Given numbers are 300,912,163,532

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

The LCM of 300,912,163,532 is 26014800.

Find LCM of 300,912,163,532 with Prime Factorization


2 300, 912, 163, 532
2 150, 456, 163, 266
3 75, 228, 163, 133
19 25, 76, 163, 133
25, 4, 163, 7

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

2 x 2 x 3 x 19 x 25 x 4 x 163 x 7 = 26014800

Therefore, the lowest common multiple of 300,912,163,532 is 26014800.

LCM Formula to Find Lowest Common Multiple of 300,912,163,532

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 912 x 163 x 532 = 23725497600

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

163 : 1, 163

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,912,163,532, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

912:2x 2x 2x 2x 3x 19

163:163

532:2x 2x 7x 19

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 19 = 912

Therefore, the value for common factors is 912.

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 = 23725497600/(1x912)

LCM = 23725497600/912

LCM = 26014800

Thus, we can understand that the LCM of 300,912,163,532 is 26014800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 300, 912, 163, 532

1. What is the LCM of 300, 912, 163, 532?

Answer: LCM of 300, 912, 163, 532 is 26014800.

2. How to calculate the LCM of 300, 912, 163, 532?

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, 912, 163, 532.

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}.