LCM of 975, 779, 995, 104, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 779, 995, 104, 492 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 975, 779, 995, 104, 492. So, keep reading to learn more.
Given numbers are 975,779,995,104,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,779,995,104,492 is 1209163800.
Find LCM of 975,779,995,104,492 with Prime Factorization
| 2 | 975, 779, 995, 104, 492 |
| 2 | 975, 779, 995, 52, 246 |
| 3 | 975, 779, 995, 26, 123 |
| 5 | 325, 779, 995, 26, 41 |
| 13 | 65, 779, 199, 26, 41 |
| 41 | 5, 779, 199, 2, 41 |
| 5, 19, 199, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 41 x 5 x 19 x 199 x 2 x 1 = 1209163800
Therefore, the lowest common multiple of 975,779,995,104,492 is 1209163800.
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.
975 x 779 x 995 x 104 x 492 = 38669058324000
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
779 : 1, 19, 41, 779
995 : 1, 5, 199, 995
104 : 1, 2, 4, 8, 13, 26, 52, 104
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,779,995,104,492, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
779:19x 41
995:5x 199
104:2x 2x 2x 13
492:2x 2x 3x 41
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 3x 5x 13x 41 = 31980
Therefore, the value for common factors is 31980.
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 = 38669058324000/(1x31980)
LCM = 38669058324000/31980
LCM = 1209163800
Thus, we can understand that the LCM of 975,779,995,104,492 is 1209163800.
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FAQs on LCM of 975, 779, 995, 104, 492
1. What is the LCM of 975, 779, 995, 104, 492?
Answer: LCM of 975, 779, 995, 104, 492 is 1209163800.
2. How to calculate the LCM of 975, 779, 995, 104, 492?
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 975, 779, 995, 104, 492.
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}.