LCM of 715, 189, 458, 680, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 189, 458, 680, 578 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, 189, 458, 680, 578. So, keep reading to learn more.
Given numbers are 715,189,458,680,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,189,458,680,578 is 71546955480.
Find LCM of 715,189,458,680,578 with Prime Factorization
| 2 | 715, 189, 458, 680, 578 |
| 5 | 715, 189, 229, 340, 289 |
| 17 | 143, 189, 229, 68, 289 |
| 143, 189, 229, 4, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 143 x 189 x 229 x 4 x 17 = 71546955480
Therefore, the lowest common multiple of 715,189,458,680,578 is 71546955480.
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 189 x 458 x 680 x 578 = 24325964863200
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
189 : 1, 3, 7, 9, 21, 27, 63, 189
458 : 1, 2, 229, 458
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,189,458,680,578, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
189:3x 3x 3x 7
458:2x 229
680:2x 2x 2x 5x 17
578:2x 17x 17
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 24325964863200/(1x340)
LCM = 24325964863200/340
LCM = 71546955480
Thus, we can understand that the LCM of 715,189,458,680,578 is 71546955480.
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FAQs on LCM of 715, 189, 458, 680, 578
1. What is the LCM of 715, 189, 458, 680, 578?
Answer: LCM of 715, 189, 458, 680, 578 is 71546955480.
2. How to calculate the LCM of 715, 189, 458, 680, 578?
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, 189, 458, 680, 578.
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}.