LCM of 416, 986, 533, 342, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 986, 533, 342, 732 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 416, 986, 533, 342, 732. So, keep reading to learn more.
Given numbers are 416,986,533,342,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,986,533,342,732 is 87710190048.
Find LCM of 416,986,533,342,732 with Prime Factorization
| 2 | 416, 986, 533, 342, 732 |
| 2 | 208, 493, 533, 171, 366 |
| 3 | 104, 493, 533, 171, 183 |
| 13 | 104, 493, 533, 57, 61 |
| 8, 493, 41, 57, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 8 x 493 x 41 x 57 x 61 = 87710190048
Therefore, the lowest common multiple of 416,986,533,342,732 is 87710190048.
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.
416 x 986 x 533 x 342 x 732 = 54731158589952
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
986 : 1, 2, 17, 29, 34, 58, 493, 986
533 : 1, 13, 41, 533
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,986,533,342,732, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
986:2x 17x 29
533:13x 41
342:2x 3x 3x 19
732:2x 2x 3x 61
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 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 54731158589952/(1x624)
LCM = 54731158589952/624
LCM = 87710190048
Thus, we can understand that the LCM of 416,986,533,342,732 is 87710190048.
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FAQs on LCM of 416, 986, 533, 342, 732
1. What is the LCM of 416, 986, 533, 342, 732?
Answer: LCM of 416, 986, 533, 342, 732 is 87710190048.
2. How to calculate the LCM of 416, 986, 533, 342, 732?
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 416, 986, 533, 342, 732.
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}.