LCM of 230, 962, 724, 350, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 962, 724, 350, 364 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 230, 962, 724, 350, 364. So, keep reading to learn more.
Given numbers are 230,962,724,350,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,962,724,350,364 is 1401682100.
Find LCM of 230,962,724,350,364 with Prime Factorization
| 2 | 230, 962, 724, 350, 364 |
| 2 | 115, 481, 362, 175, 182 |
| 5 | 115, 481, 181, 175, 91 |
| 7 | 23, 481, 181, 35, 91 |
| 13 | 23, 481, 181, 5, 13 |
| 23, 37, 181, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 23 x 37 x 181 x 5 x 1 = 1401682100
Therefore, the lowest common multiple of 230,962,724,350,364 is 1401682100.
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.
230 x 962 x 724 x 350 x 364 = 20408491376000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
962 : 1, 2, 13, 26, 37, 74, 481, 962
724 : 1, 2, 4, 181, 362, 724
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,962,724,350,364, is 2.
Now, the common factors can be found like this.
230:2x 5x 23
962:2x 13x 37
724:2x 2x 181
350:2x 5x 5x 7
364:2x 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 2x 5x 7x 13 = 7280
Therefore, the value for common factors is 7280.
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 = 20408491376000/(2x7280)
LCM = 20408491376000/14560
LCM = 1401682100
Thus, we can understand that the LCM of 230,962,724,350,364 is 1401682100.
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FAQs on LCM of 230, 962, 724, 350, 364
1. What is the LCM of 230, 962, 724, 350, 364?
Answer: LCM of 230, 962, 724, 350, 364 is 1401682100.
2. How to calculate the LCM of 230, 962, 724, 350, 364?
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 230, 962, 724, 350, 364.
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}.