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LCM of 189, 390, 951, 882, 960

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


Find the LCM of 189, 390, 951, 882, 960 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 189, 390, 951, 882, 960. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 189,390,951,882,960

Given numbers are 189,390,951,882,960

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

The LCM of 189,390,951,882,960 is 1744666560.

Find LCM of 189,390,951,882,960 with Prime Factorization


2 189, 390, 951, 882, 960
3 189, 195, 951, 441, 480
3 63, 65, 317, 147, 160
5 21, 65, 317, 49, 160
7 21, 13, 317, 49, 32
3, 13, 317, 7, 32

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

2 x 3 x 3 x 5 x 7 x 3 x 13 x 317 x 7 x 32 = 1744666560

Therefore, the lowest common multiple of 189,390,951,882,960 is 1744666560.

LCM Formula to Find Lowest Common Multiple of 189,390,951,882,960

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.

189 x 390 x 951 x 882 x 960 = 59353556371200

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

951 : 1, 3, 317, 951

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,390,951,882,960, is 3.

Now, the common factors can be found like this.

189:3x 3x 3x 7

390:2x 3x 5x 13

951:3x 317

882:2x 3x 3x 7x 7

960:2x 2x 2x 2x 2x 2x 3x 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 3x 3x 3x 3x 5x 7 = 11340

Therefore, the value for common factors is 11340.

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 = 59353556371200/(3x11340)

LCM = 59353556371200/34020

LCM = 1744666560

Thus, we can understand that the LCM of 189,390,951,882,960 is 1744666560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 189, 390, 951, 882, 960

1. What is the LCM of 189, 390, 951, 882, 960?

Answer: LCM of 189, 390, 951, 882, 960 is 1744666560.

2. How to calculate the LCM of 189, 390, 951, 882, 960?

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 189, 390, 951, 882, 960.

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}.