LCM of 983, 611, 312, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 611, 312, 752 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 983, 611, 312, 752. So, keep reading to learn more.
Given numbers are 983,611,312,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,611,312,752 is 28829424.
Find LCM of 983,611,312,752 with Prime Factorization
| 2 | 983, 611, 312, 752 |
| 2 | 983, 611, 156, 376 |
| 2 | 983, 611, 78, 188 |
| 13 | 983, 611, 39, 94 |
| 47 | 983, 47, 3, 94 |
| 983, 1, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 47 x 983 x 1 x 3 x 2 = 28829424
Therefore, the lowest common multiple of 983,611,312,752 is 28829424.
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.
983 x 611 x 312 x 752 = 140918224512
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.
983 : 1, 983
611 : 1, 13, 47, 611
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,611,312,752, is 1.
Now, the common factors can be found like this.
983:983
611:13x 47
312:2x 2x 2x 3x 13
752:2x 2x 2x 2x 47
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 13x 47 = 4888
Therefore, the value for common factors is 4888.
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 = 140918224512/(1x4888)
LCM = 140918224512/4888
LCM = 28829424
Thus, we can understand that the LCM of 983,611,312,752 is 28829424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 983, 611, 312, 752
1. What is the LCM of 983, 611, 312, 752?
Answer: LCM of 983, 611, 312, 752 is 28829424.
2. How to calculate the LCM of 983, 611, 312, 752?
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 983, 611, 312, 752.
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}.