Find the LCM of 470, 961, 755, 353, 350 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 470, 961, 755, 353, 350. So, keep reading to learn more.
Given numbers are 470,961,755,353,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,961,755,353,350 is 842637810350.
Find LCM of 470,961,755,353,350 with Prime Factorization
2 | 470, 961, 755, 353, 350 |
5 | 235, 961, 755, 353, 175 |
47, 961, 151, 353, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 961 x 151 x 353 x 35 = 842637810350
Therefore, the lowest common multiple of 470,961,755,353,350 is 842637810350.
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.
470 x 961 x 755 x 353 x 350 = 42131890517500
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
961 : 1, 31, 961
755 : 1, 5, 151, 755
353 : 1, 353
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,961,755,353,350, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
961:31x 31
755:5x 151
353:353
350:2x 5x 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 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 42131890517500/(1x50)
LCM = 42131890517500/50
LCM = 842637810350
Thus, we can understand that the LCM of 470,961,755,353,350 is 842637810350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 470, 961, 755, 353, 350?
Answer: LCM of 470, 961, 755, 353, 350 is 842637810350.
2. How to calculate the LCM of 470, 961, 755, 353, 350?
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 470, 961, 755, 353, 350.
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}.