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LCM of 802, 126, 882, 419, 420

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


Find the LCM of 802, 126, 882, 419, 420 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 802, 126, 882, 419, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,126,882,419,420

Given numbers are 802,126,882,419,420

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

The LCM of 802,126,882,419,420 is 1481927580.

Find LCM of 802,126,882,419,420 with Prime Factorization


2 802, 126, 882, 419, 420
3 401, 63, 441, 419, 210
3 401, 21, 147, 419, 70
7 401, 7, 49, 419, 70
401, 1, 7, 419, 10

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

2 x 3 x 3 x 7 x 401 x 1 x 7 x 419 x 10 = 1481927580

Therefore, the lowest common multiple of 802,126,882,419,420 is 1481927580.

LCM Formula to Find Lowest Common Multiple of 802,126,882,419,420

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.

802 x 126 x 882 x 419 x 420 = 15684721506720

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.

802 : 1, 2, 401, 802

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

419 : 1, 419

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,126,882,419,420, is 1.

Now, the common factors can be found like this.

802:2x 401

126:2x 3x 3x 7

882:2x 3x 3x 7x 7

419:419

420:2x 2x 3x 5x 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 2x 2x 3x 3x 3x 7x 7 = 10584

Therefore, the value for common factors is 10584.

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 = 15684721506720/(1x10584)

LCM = 15684721506720/10584

LCM = 1481927580

Thus, we can understand that the LCM of 802,126,882,419,420 is 1481927580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 126, 882, 419, 420

1. What is the LCM of 802, 126, 882, 419, 420?

Answer: LCM of 802, 126, 882, 419, 420 is 1481927580.

2. How to calculate the LCM of 802, 126, 882, 419, 420?

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 802, 126, 882, 419, 420.

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}.