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LCM of 903, 882, 521, 277, 378

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


Find the LCM of 903, 882, 521, 277, 378 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 903, 882, 521, 277, 378. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 903,882,521,277,378

Given numbers are 903,882,521,277,378

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

The LCM of 903,882,521,277,378 is 16420099626.

Find LCM of 903,882,521,277,378 with Prime Factorization


2 903, 882, 521, 277, 378
3 903, 441, 521, 277, 189
3 301, 147, 521, 277, 63
7 301, 49, 521, 277, 21
43, 7, 521, 277, 3

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

2 x 3 x 3 x 7 x 43 x 7 x 521 x 277 x 3 = 16420099626

Therefore, the lowest common multiple of 903,882,521,277,378 is 16420099626.

LCM Formula to Find Lowest Common Multiple of 903,882,521,277,378

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.

903 x 882 x 521 x 277 x 378 = 43447583610396

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.

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

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

521 : 1, 521

277 : 1, 277

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,882,521,277,378, is 1.

Now, the common factors can be found like this.

903:3x 7x 43

882:2x 3x 3x 7x 7

521:521

277:277

378:2x 3x 3x 3x 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 3x 3x 3x 7x 7 = 2646

Therefore, the value for common factors is 2646.

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 = 43447583610396/(1x2646)

LCM = 43447583610396/2646

LCM = 16420099626

Thus, we can understand that the LCM of 903,882,521,277,378 is 16420099626.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 903, 882, 521, 277, 378

1. What is the LCM of 903, 882, 521, 277, 378?

Answer: LCM of 903, 882, 521, 277, 378 is 16420099626.

2. How to calculate the LCM of 903, 882, 521, 277, 378?

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 903, 882, 521, 277, 378.

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}.