Find the LCM of 373, 587, 583, 803, 407 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 373, 587, 583, 803, 407. So, keep reading to learn more.
Given numbers are 373,587,583,803,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,587,583,803,407 is 344778417533.
Find LCM of 373,587,583,803,407 with Prime Factorization
11 | 373, 587, 583, 803, 407 |
373, 587, 53, 73, 37 |
Multiply the prime numbers at the bottom and the left side.
11 x 373 x 587 x 53 x 73 x 37 = 344778417533
Therefore, the lowest common multiple of 373,587,583,803,407 is 344778417533.
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.
373 x 587 x 583 x 803 x 407 = 41718188521493
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.
373 : 1, 373
587 : 1, 587
583 : 1, 11, 53, 583
803 : 1, 11, 73, 803
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,587,583,803,407, is 1.
Now, the common factors can be found like this.
373:373
587:587
583:11x 53
803:11x 73
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 41718188521493/(1x121)
LCM = 41718188521493/121
LCM = 344778417533
Thus, we can understand that the LCM of 373,587,583,803,407 is 344778417533.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 373, 587, 583, 803, 407?
Answer: LCM of 373, 587, 583, 803, 407 is 344778417533.
2. How to calculate the LCM of 373, 587, 583, 803, 407?
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 373, 587, 583, 803, 407.
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}.