LCM of 373, 188, 752, 402, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 188, 752, 402, 901 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, 188, 752, 402, 901. So, keep reading to learn more.
Given numbers are 373,188,752,402,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,188,752,402,901 is 50798106096.
Find LCM of 373,188,752,402,901 with Prime Factorization
| 2 | 373, 188, 752, 402, 901 |
| 2 | 373, 94, 376, 201, 901 |
| 47 | 373, 47, 188, 201, 901 |
| 373, 1, 4, 201, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 373 x 1 x 4 x 201 x 901 = 50798106096
Therefore, the lowest common multiple of 373,188,752,402,901 is 50798106096.
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 188 x 752 x 402 x 901 = 19100087892096
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
188 : 1, 2, 4, 47, 94, 188
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
402 : 1, 2, 3, 6, 67, 134, 201, 402
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,188,752,402,901, is 1.
Now, the common factors can be found like this.
373:373
188:2x 2x 47
752:2x 2x 2x 2x 47
402:2x 3x 67
901:17x 53
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 47 = 376
Therefore, the value for common factors is 376.
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 = 19100087892096/(1x376)
LCM = 19100087892096/376
LCM = 50798106096
Thus, we can understand that the LCM of 373,188,752,402,901 is 50798106096.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 373, 188, 752, 402, 901
1. What is the LCM of 373, 188, 752, 402, 901?
Answer: LCM of 373, 188, 752, 402, 901 is 50798106096.
2. How to calculate the LCM of 373, 188, 752, 402, 901?
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, 188, 752, 402, 901.
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}.