LCM of 715, 931, 418, 101, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 931, 418, 101, 450 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 715, 931, 418, 101, 450. So, keep reading to learn more.
Given numbers are 715,931,418,101,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,931,418,101,450 is 6050894850.
Find LCM of 715,931,418,101,450 with Prime Factorization
| 2 | 715, 931, 418, 101, 450 |
| 5 | 715, 931, 209, 101, 225 |
| 11 | 143, 931, 209, 101, 45 |
| 19 | 13, 931, 19, 101, 45 |
| 13, 49, 1, 101, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 19 x 13 x 49 x 1 x 101 x 45 = 6050894850
Therefore, the lowest common multiple of 715,931,418,101,450 is 6050894850.
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.
715 x 931 x 418 x 101 x 450 = 12646370236500
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
931 : 1, 7, 19, 49, 133, 931
418 : 1, 2, 11, 19, 22, 38, 209, 418
101 : 1, 101
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,931,418,101,450, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
931:7x 7x 19
418:2x 11x 19
101:101
450:2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 19 = 2090
Therefore, the value for common factors is 2090.
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 = 12646370236500/(1x2090)
LCM = 12646370236500/2090
LCM = 6050894850
Thus, we can understand that the LCM of 715,931,418,101,450 is 6050894850.
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FAQs on LCM of 715, 931, 418, 101, 450
1. What is the LCM of 715, 931, 418, 101, 450?
Answer: LCM of 715, 931, 418, 101, 450 is 6050894850.
2. How to calculate the LCM of 715, 931, 418, 101, 450?
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 715, 931, 418, 101, 450.
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}.