LCM of 982, 312, 749, 715, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 982, 312, 749, 715, 189 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 982, 312, 749, 715, 189. So, keep reading to learn more.
Given numbers are 982,312,749,715,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,312,749,715,189 is 56796699960.
Find LCM of 982,312,749,715,189 with Prime Factorization
| 2 | 982, 312, 749, 715, 189 |
| 3 | 491, 156, 749, 715, 189 |
| 7 | 491, 52, 749, 715, 63 |
| 13 | 491, 52, 107, 715, 9 |
| 491, 4, 107, 55, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 491 x 4 x 107 x 55 x 9 = 56796699960
Therefore, the lowest common multiple of 982,312,749,715,189 is 56796699960.
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.
982 x 312 x 749 x 715 x 189 = 31010998178160
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.
982 : 1, 2, 491, 982
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
749 : 1, 7, 107, 749
715 : 1, 5, 11, 13, 55, 65, 143, 715
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,312,749,715,189, is 1.
Now, the common factors can be found like this.
982:2x 491
312:2x 2x 2x 3x 13
749:7x 107
715:5x 11x 13
189:3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 31010998178160/(1x546)
LCM = 31010998178160/546
LCM = 56796699960
Thus, we can understand that the LCM of 982,312,749,715,189 is 56796699960.
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FAQs on LCM of 982, 312, 749, 715, 189
1. What is the LCM of 982, 312, 749, 715, 189?
Answer: LCM of 982, 312, 749, 715, 189 is 56796699960.
2. How to calculate the LCM of 982, 312, 749, 715, 189?
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 982, 312, 749, 715, 189.
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}.