LCM of 836, 955, 489, 361, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 955, 489, 361, 756 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 836, 955, 489, 361, 756. So, keep reading to learn more.
Given numbers are 836,955,489,361,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,955,489,361,756 is 467318160540.
Find LCM of 836,955,489,361,756 with Prime Factorization
| 2 | 836, 955, 489, 361, 756 |
| 2 | 418, 955, 489, 361, 378 |
| 3 | 209, 955, 489, 361, 189 |
| 19 | 209, 955, 163, 361, 63 |
| 11, 955, 163, 19, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 11 x 955 x 163 x 19 x 63 = 467318160540
Therefore, the lowest common multiple of 836,955,489,361,756 is 467318160540.
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.
836 x 955 x 489 x 361 x 756 = 106548540603120
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
955 : 1, 5, 191, 955
489 : 1, 3, 163, 489
361 : 1, 19, 361
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,955,489,361,756, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
955:5x 191
489:3x 163
361:19x 19
756:2x 2x 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 2x 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 106548540603120/(1x228)
LCM = 106548540603120/228
LCM = 467318160540
Thus, we can understand that the LCM of 836,955,489,361,756 is 467318160540.
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FAQs on LCM of 836, 955, 489, 361, 756
1. What is the LCM of 836, 955, 489, 361, 756?
Answer: LCM of 836, 955, 489, 361, 756 is 467318160540.
2. How to calculate the LCM of 836, 955, 489, 361, 756?
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 836, 955, 489, 361, 756.
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}.