LCM of 921, 528, 391, 527, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 528, 391, 527, 836 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 921, 528, 391, 527, 836. So, keep reading to learn more.
Given numbers are 921,528,391,527,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,528,391,527,836 is 37330546704.
Find LCM of 921,528,391,527,836 with Prime Factorization
| 2 | 921, 528, 391, 527, 836 |
| 2 | 921, 264, 391, 527, 418 |
| 3 | 921, 132, 391, 527, 209 |
| 11 | 307, 44, 391, 527, 209 |
| 17 | 307, 4, 391, 527, 19 |
| 307, 4, 23, 31, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 307 x 4 x 23 x 31 x 19 = 37330546704
Therefore, the lowest common multiple of 921,528,391,527,836 is 37330546704.
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.
921 x 528 x 391 x 527 x 836 = 83769746803776
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.
921 : 1, 3, 307, 921
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
391 : 1, 17, 23, 391
527 : 1, 17, 31, 527
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,528,391,527,836, is 1.
Now, the common factors can be found like this.
921:3x 307
528:2x 2x 2x 2x 3x 11
391:17x 23
527:17x 31
836:2x 2x 11x 19
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 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 83769746803776/(1x2244)
LCM = 83769746803776/2244
LCM = 37330546704
Thus, we can understand that the LCM of 921,528,391,527,836 is 37330546704.
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FAQs on LCM of 921, 528, 391, 527, 836
1. What is the LCM of 921, 528, 391, 527, 836?
Answer: LCM of 921, 528, 391, 527, 836 is 37330546704.
2. How to calculate the LCM of 921, 528, 391, 527, 836?
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 921, 528, 391, 527, 836.
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}.