LCM of 932, 398, 836, 817, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 398, 836, 817, 416 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 932, 398, 836, 817, 416. So, keep reading to learn more.
Given numbers are 932,398,836,817,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,398,836,817,416 is 173347295264.
Find LCM of 932,398,836,817,416 with Prime Factorization
| 2 | 932, 398, 836, 817, 416 |
| 2 | 466, 199, 418, 817, 208 |
| 19 | 233, 199, 209, 817, 104 |
| 233, 199, 11, 43, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 233 x 199 x 11 x 43 x 104 = 173347295264
Therefore, the lowest common multiple of 932,398,836,817,416 is 173347295264.
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.
932 x 398 x 836 x 817 x 416 = 105395155520512
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.
932 : 1, 2, 4, 233, 466, 932
398 : 1, 2, 199, 398
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
817 : 1, 19, 43, 817
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,398,836,817,416, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
398:2x 199
836:2x 2x 11x 19
817:19x 43
416:2x 2x 2x 2x 2x 13
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 2x 2x 2x 19 = 608
Therefore, the value for common factors is 608.
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 = 105395155520512/(1x608)
LCM = 105395155520512/608
LCM = 173347295264
Thus, we can understand that the LCM of 932,398,836,817,416 is 173347295264.
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FAQs on LCM of 932, 398, 836, 817, 416
1. What is the LCM of 932, 398, 836, 817, 416?
Answer: LCM of 932, 398, 836, 817, 416 is 173347295264.
2. How to calculate the LCM of 932, 398, 836, 817, 416?
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 932, 398, 836, 817, 416.
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}.