LCM of 752, 188, 576, 624, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 752, 188, 576, 624, 128 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 752, 188, 576, 624, 128. So, keep reading to learn more.
Given numbers are 752,188,576,624,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,188,576,624,128 is 703872.
Find LCM of 752,188,576,624,128 with Prime Factorization
| 2 | 752, 188, 576, 624, 128 |
| 2 | 376, 94, 288, 312, 64 |
| 2 | 188, 47, 144, 156, 32 |
| 2 | 94, 47, 72, 78, 16 |
| 2 | 47, 47, 36, 39, 8 |
| 2 | 47, 47, 18, 39, 4 |
| 3 | 47, 47, 9, 39, 2 |
| 47 | 47, 47, 3, 13, 2 |
| 1, 1, 3, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 x 1 x 1 x 3 x 13 x 2 = 703872
Therefore, the lowest common multiple of 752,188,576,624,128 is 703872.
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.
752 x 188 x 576 x 624 x 128 = 6504182710272
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
188 : 1, 2, 4, 47, 94, 188
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
128 : 1, 2, 4, 8, 16, 32, 64, 128
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,188,576,624,128, is 4.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
188:2x 2x 47
576:2x 2x 2x 2x 2x 2x 3x 3
624:2x 2x 2x 2x 3x 13
128:2x 2x 2x 2x 2x 2x 2
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 2x 2x 2x 2x 2x 2x 2x 2x 2x 3x 47 = 2310144
Therefore, the value for common factors is 2310144.
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 = 6504182710272/(4x2310144)
LCM = 6504182710272/9240576
LCM = 703872
Thus, we can understand that the LCM of 752,188,576,624,128 is 703872.
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FAQs on LCM of 752, 188, 576, 624, 128
1. What is the LCM of 752, 188, 576, 624, 128?
Answer: LCM of 752, 188, 576, 624, 128 is 703872.
2. How to calculate the LCM of 752, 188, 576, 624, 128?
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 752, 188, 576, 624, 128.
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}.