Find the LCM of 472, 749, 601, 703, 925 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 472, 749, 601, 703, 925. So, keep reading to learn more.
Given numbers are 472,749,601,703,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,749,601,703,925 is 3734166014600.
Find LCM of 472,749,601,703,925 with Prime Factorization
37 | 472, 749, 601, 703, 925 |
472, 749, 601, 19, 25 |
Multiply the prime numbers at the bottom and the left side.
37 x 472 x 749 x 601 x 19 x 25 = 3734166014600
Therefore, the lowest common multiple of 472,749,601,703,925 is 3734166014600.
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.
472 x 749 x 601 x 703 x 925 = 138164142540200
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
749 : 1, 7, 107, 749
601 : 1, 601
703 : 1, 19, 37, 703
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,749,601,703,925, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
749:7x 107
601:601
703:19x 37
925:5x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37 = 37
Therefore, the value for common factors is 37.
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 = 138164142540200/(1x37)
LCM = 138164142540200/37
LCM = 3734166014600
Thus, we can understand that the LCM of 472,749,601,703,925 is 3734166014600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 472, 749, 601, 703, 925?
Answer: LCM of 472, 749, 601, 703, 925 is 3734166014600.
2. How to calculate the LCM of 472, 749, 601, 703, 925?
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 472, 749, 601, 703, 925.
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}.