LCM of 375, 834, 649, 746, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 834, 649, 746, 382 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 375, 834, 649, 746, 382. So, keep reading to learn more.
Given numbers are 375,834,649,746,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,834,649,746,382 is 4820176704750.
Find LCM of 375,834,649,746,382 with Prime Factorization
| 2 | 375, 834, 649, 746, 382 |
| 3 | 375, 417, 649, 373, 191 |
| 125, 139, 649, 373, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 125 x 139 x 649 x 373 x 191 = 4820176704750
Therefore, the lowest common multiple of 375,834,649,746,382 is 4820176704750.
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.
375 x 834 x 649 x 746 x 382 = 57842120457000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
834 : 1, 2, 3, 6, 139, 278, 417, 834
649 : 1, 11, 59, 649
746 : 1, 2, 373, 746
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,834,649,746,382, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
834:2x 3x 139
649:11x 59
746:2x 373
382:2x 191
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 3 = 12
Therefore, the value for common factors is 12.
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 = 57842120457000/(1x12)
LCM = 57842120457000/12
LCM = 4820176704750
Thus, we can understand that the LCM of 375,834,649,746,382 is 4820176704750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 375, 834, 649, 746, 382
1. What is the LCM of 375, 834, 649, 746, 382?
Answer: LCM of 375, 834, 649, 746, 382 is 4820176704750.
2. How to calculate the LCM of 375, 834, 649, 746, 382?
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 375, 834, 649, 746, 382.
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}.