LCM of 9464, 7462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9464, 7462 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 9464, 7462. So, keep reading to learn more.
Given numbers are 9464,7462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9464,7462 is 388024.
Find LCM of 9464,7462 with Prime Factorization
| 2 | 9464, 7462 |
| 7 | 4732, 3731 |
| 13 | 676, 533 |
| 52, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 52 x 41 = 388024
Therefore, the lowest common multiple of 9464,7462 is 388024.
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.
9464 x 7462 = 70620368
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.
9464 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464
7462 : 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462
182 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9464,7462, is 182.
Now, the common factors can be found like this.
9464:2x 2x 2x 7x 13x 13
7462:2x 7x 13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 70620368/(182x1)
LCM = 70620368/182
LCM = 388024
Thus, we can understand that the LCM of 9464,7462 is 388024.
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FAQs on LCM of 9464, 7462
1. What is the LCM of 9464, 7462?
Answer: LCM of 9464, 7462 is 388024.
2. How to calculate the LCM of 9464, 7462?
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 9464, 7462.
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}.