LCM of 932, 472, 699, 862, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 472, 699, 862, 309 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, 472, 699, 862, 309. So, keep reading to learn more.
Given numbers are 932,472,699,862,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,472,699,862,309 is 14646493704.
Find LCM of 932,472,699,862,309 with Prime Factorization
| 2 | 932, 472, 699, 862, 309 |
| 2 | 466, 236, 699, 431, 309 |
| 3 | 233, 118, 699, 431, 309 |
| 233 | 233, 118, 233, 431, 103 |
| 1, 118, 1, 431, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 233 x 1 x 118 x 1 x 431 x 103 = 14646493704
Therefore, the lowest common multiple of 932,472,699,862,309 is 14646493704.
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 472 x 699 x 862 x 309 = 81903192792768
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
472 : 1, 2, 4, 8, 59, 118, 236, 472
699 : 1, 3, 233, 699
862 : 1, 2, 431, 862
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,472,699,862,309, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
472:2x 2x 2x 59
699:3x 233
862:2x 431
309:3x 103
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 3x 233 = 5592
Therefore, the value for common factors is 5592.
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 = 81903192792768/(1x5592)
LCM = 81903192792768/5592
LCM = 14646493704
Thus, we can understand that the LCM of 932,472,699,862,309 is 14646493704.
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FAQs on LCM of 932, 472, 699, 862, 309
1. What is the LCM of 932, 472, 699, 862, 309?
Answer: LCM of 932, 472, 699, 862, 309 is 14646493704.
2. How to calculate the LCM of 932, 472, 699, 862, 309?
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, 472, 699, 862, 309.
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}.