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LCM of 882, 903, 660, 377

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


Find the LCM of 882, 903, 660, 377 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 882, 903, 660, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,903,660,377

Given numbers are 882,903,660,377

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

The LCM of 882,903,660,377 is 1572791220.

Find LCM of 882,903,660,377 with Prime Factorization


2 882, 903, 660, 377
3 441, 903, 330, 377
7 147, 301, 110, 377
21, 43, 110, 377

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

2 x 3 x 7 x 21 x 43 x 110 x 377 = 1572791220

Therefore, the lowest common multiple of 882,903,660,377 is 1572791220.

LCM Formula to Find Lowest Common Multiple of 882,903,660,377

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.

882 x 903 x 660 x 377 = 198171693720

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.

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

903 : 1, 3, 7, 21, 43, 129, 301, 903

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,903,660,377, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

903:3x 7x 43

660:2x 2x 3x 5x 11

377:13x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 198171693720/(1x126)

LCM = 198171693720/126

LCM = 1572791220

Thus, we can understand that the LCM of 882,903,660,377 is 1572791220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 903, 660, 377

1. What is the LCM of 882, 903, 660, 377?

Answer: LCM of 882, 903, 660, 377 is 1572791220.

2. How to calculate the LCM of 882, 903, 660, 377?

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 882, 903, 660, 377.

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}.