Find the LCM of 350, 349, 480, 770, 891 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 350, 349, 480, 770, 891. So, keep reading to learn more.
Given numbers are 350,349,480,770,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 350,349,480,770,891 is 1741370400.
Find LCM of 350,349,480,770,891 with Prime Factorization
2 | 350, 349, 480, 770, 891 |
3 | 175, 349, 240, 385, 891 |
5 | 175, 349, 80, 385, 297 |
7 | 35, 349, 16, 77, 297 |
11 | 5, 349, 16, 11, 297 |
5, 349, 16, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 5 x 349 x 16 x 1 x 27 = 1741370400
Therefore, the lowest common multiple of 350,349,480,770,891 is 1741370400.
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.
350 x 349 x 480 x 770 x 891 = 40225656240000
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.
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
349 : 1, 349
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,349,480,770,891, is 1.
Now, the common factors can be found like this.
350:2x 5x 5x 7
349:349
480:2x 2x 2x 2x 2x 3x 5
770:2x 5x 7x 11
891:3x 3x 3x 3x 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 3x 5x 5x 7x 11 = 23100
Therefore, the value for common factors is 23100.
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 = 40225656240000/(1x23100)
LCM = 40225656240000/23100
LCM = 1741370400
Thus, we can understand that the LCM of 350,349,480,770,891 is 1741370400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 350, 349, 480, 770, 891?
Answer: LCM of 350, 349, 480, 770, 891 is 1741370400.
2. How to calculate the LCM of 350, 349, 480, 770, 891?
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 350, 349, 480, 770, 891.
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}.