LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 676, 882, 960, 840, 845

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


Find the LCM of 676, 882, 960, 840, 845 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 676, 882, 960, 840, 845. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,882,960,840,845

Given numbers are 676,882,960,840,845

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

The LCM of 676,882,960,840,845 is 23849280.

Find LCM of 676,882,960,840,845 with Prime Factorization


2 676, 882, 960, 840, 845
2 338, 441, 480, 420, 845
2 169, 441, 240, 210, 845
3 169, 441, 120, 105, 845
5 169, 147, 40, 35, 845
7 169, 147, 8, 7, 169
13 169, 21, 8, 1, 169
13 13, 21, 8, 1, 13
1, 21, 8, 1, 1

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

2 x 2 x 2 x 3 x 5 x 7 x 13 x 13 x 1 x 21 x 8 x 1 x 1 = 23849280

Therefore, the lowest common multiple of 676,882,960,840,845 is 23849280.

LCM Formula to Find Lowest Common Multiple of 676,882,960,840,845

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.

676 x 882 x 960 x 840 x 845 = 406277254656000

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,882,960,840,845, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

882:2x 3x 3x 7x 7

960:2x 2x 2x 2x 2x 2x 3x 5

840:2x 2x 2x 3x 5x 7

845:5x 13x 13

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 2x 2x 2x 3x 3x 5x 5x 7x 13x 13 = 17035200

Therefore, the value for common factors is 17035200.

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 = 406277254656000/(1x17035200)

LCM = 406277254656000/17035200

LCM = 23849280

Thus, we can understand that the LCM of 676,882,960,840,845 is 23849280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 882, 960, 840, 845

1. What is the LCM of 676, 882, 960, 840, 845?

Answer: LCM of 676, 882, 960, 840, 845 is 23849280.

2. How to calculate the LCM of 676, 882, 960, 840, 845?

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 676, 882, 960, 840, 845.

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}.