Find the LCM of 945, 486, 391, 377, 751 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 945, 486, 391, 377, 751. So, keep reading to learn more.
Given numbers are 945,486,391,377,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,486,391,377,751 is 1883052195570.
Find LCM of 945,486,391,377,751 with Prime Factorization
3 | 945, 486, 391, 377, 751 |
3 | 315, 162, 391, 377, 751 |
3 | 105, 54, 391, 377, 751 |
35, 18, 391, 377, 751 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 35 x 18 x 391 x 377 x 751 = 1883052195570
Therefore, the lowest common multiple of 945,486,391,377,751 is 1883052195570.
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.
945 x 486 x 391 x 377 x 751 = 50842409280390
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
391 : 1, 17, 23, 391
377 : 1, 13, 29, 377
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,486,391,377,751, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
486:2x 3x 3x 3x 3x 3
391:17x 23
377:13x 29
751:751
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 50842409280390/(1x27)
LCM = 50842409280390/27
LCM = 1883052195570
Thus, we can understand that the LCM of 945,486,391,377,751 is 1883052195570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 945, 486, 391, 377, 751?
Answer: LCM of 945, 486, 391, 377, 751 is 1883052195570.
2. How to calculate the LCM of 945, 486, 391, 377, 751?
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 945, 486, 391, 377, 751.
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}.