LCM of 148, 969, 703, 346, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 148, 969, 703, 346, 728 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 148, 969, 703, 346, 728. So, keep reading to learn more.
Given numbers are 148,969,703,346,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,969,703,346,728 is 4515470232.
Find LCM of 148,969,703,346,728 with Prime Factorization
| 2 | 148, 969, 703, 346, 728 |
| 2 | 74, 969, 703, 173, 364 |
| 19 | 37, 969, 703, 173, 182 |
| 37 | 37, 51, 37, 173, 182 |
| 1, 51, 1, 173, 182 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 37 x 1 x 51 x 1 x 173 x 182 = 4515470232
Therefore, the lowest common multiple of 148,969,703,346,728 is 4515470232.
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.
148 x 969 x 703 x 346 x 728 = 25395004584768
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.
148 : 1, 2, 4, 37, 74, 148
969 : 1, 3, 17, 19, 51, 57, 323, 969
703 : 1, 19, 37, 703
346 : 1, 2, 173, 346
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,969,703,346,728, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
969:3x 17x 19
703:19x 37
346:2x 173
728:2x 2x 2x 7x 13
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 19x 37 = 5624
Therefore, the value for common factors is 5624.
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 = 25395004584768/(1x5624)
LCM = 25395004584768/5624
LCM = 4515470232
Thus, we can understand that the LCM of 148,969,703,346,728 is 4515470232.
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FAQs on LCM of 148, 969, 703, 346, 728
1. What is the LCM of 148, 969, 703, 346, 728?
Answer: LCM of 148, 969, 703, 346, 728 is 4515470232.
2. How to calculate the LCM of 148, 969, 703, 346, 728?
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 148, 969, 703, 346, 728.
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}.