LCM of 748, 232, 840, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 232, 840, 465 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 748, 232, 840, 465. So, keep reading to learn more.
Given numbers are 748,232,840,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,232,840,465 is 141214920.
Find LCM of 748,232,840,465 with Prime Factorization
| 2 | 748, 232, 840, 465 |
| 2 | 374, 116, 420, 465 |
| 2 | 187, 58, 210, 465 |
| 3 | 187, 29, 105, 465 |
| 5 | 187, 29, 35, 155 |
| 187, 29, 7, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 187 x 29 x 7 x 31 = 141214920
Therefore, the lowest common multiple of 748,232,840,465 is 141214920.
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.
748 x 232 x 840 x 465 = 67783161600
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
232 : 1, 2, 4, 8, 29, 58, 116, 232
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,232,840,465, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
232:2x 2x 2x 29
840:2x 2x 2x 3x 5x 7
465:3x 5x 31
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 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 67783161600/(1x480)
LCM = 67783161600/480
LCM = 141214920
Thus, we can understand that the LCM of 748,232,840,465 is 141214920.
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FAQs on LCM of 748, 232, 840, 465
1. What is the LCM of 748, 232, 840, 465?
Answer: LCM of 748, 232, 840, 465 is 141214920.
2. How to calculate the LCM of 748, 232, 840, 465?
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 748, 232, 840, 465.
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}.