LCM of 878, 890, 460, 667, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 878, 890, 460, 667, 770 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 878, 890, 460, 667, 770. So, keep reading to learn more.
Given numbers are 878,890,460,667,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,890,460,667,770 is 40132949780.
Find LCM of 878,890,460,667,770 with Prime Factorization
| 2 | 878, 890, 460, 667, 770 |
| 5 | 439, 445, 230, 667, 385 |
| 23 | 439, 89, 46, 667, 77 |
| 439, 89, 2, 29, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 439 x 89 x 2 x 29 x 77 = 40132949780
Therefore, the lowest common multiple of 878,890,460,667,770 is 40132949780.
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.
878 x 890 x 460 x 667 x 770 = 184611568988000
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.
878 : 1, 2, 439, 878
890 : 1, 2, 5, 10, 89, 178, 445, 890
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
667 : 1, 23, 29, 667
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,890,460,667,770, is 1.
Now, the common factors can be found like this.
878:2x 439
890:2x 5x 89
460:2x 2x 5x 23
667:23x 29
770:2x 5x 7x 11
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 5x 5x 23 = 4600
Therefore, the value for common factors is 4600.
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 = 184611568988000/(1x4600)
LCM = 184611568988000/4600
LCM = 40132949780
Thus, we can understand that the LCM of 878,890,460,667,770 is 40132949780.
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FAQs on LCM of 878, 890, 460, 667, 770
1. What is the LCM of 878, 890, 460, 667, 770?
Answer: LCM of 878, 890, 460, 667, 770 is 40132949780.
2. How to calculate the LCM of 878, 890, 460, 667, 770?
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 878, 890, 460, 667, 770.
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}.