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LCM of 389, 978, 874, 900

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


Find the LCM of 389, 978, 874, 900 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 389, 978, 874, 900. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 389,978,874,900

Given numbers are 389,978,874,900

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

The LCM of 389,978,874,900 is 24937973100.

Find LCM of 389,978,874,900 with Prime Factorization


2 389, 978, 874, 900
3 389, 489, 437, 450
389, 163, 437, 150

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

2 x 3 x 389 x 163 x 437 x 150 = 24937973100

Therefore, the lowest common multiple of 389,978,874,900 is 24937973100.

LCM Formula to Find Lowest Common Multiple of 389,978,874,900

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.

389 x 978 x 874 x 900 = 299255677200

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.

389 : 1, 389

978 : 1, 2, 3, 6, 163, 326, 489, 978

874 : 1, 2, 19, 23, 38, 46, 437, 874

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,978,874,900, is 1.

Now, the common factors can be found like this.

389:389

978:2x 3x 163

874:2x 19x 23

900:2x 2x 3x 3x 5x 5

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 3 = 12

Therefore, the value for common factors is 12.

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 = 299255677200/(1x12)

LCM = 299255677200/12

LCM = 24937973100

Thus, we can understand that the LCM of 389,978,874,900 is 24937973100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 389, 978, 874, 900

1. What is the LCM of 389, 978, 874, 900?

Answer: LCM of 389, 978, 874, 900 is 24937973100.

2. How to calculate the LCM of 389, 978, 874, 900?

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 389, 978, 874, 900.

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}.