LCM of 8520, 4476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8520, 4476 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 8520, 4476. So, keep reading to learn more.
Given numbers are 8520,4476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8520,4476 is 3177960.
Find LCM of 8520,4476 with Prime Factorization
| 2 | 8520, 4476 |
| 2 | 4260, 2238 |
| 3 | 2130, 1119 |
| 710, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 710 x 373 = 3177960
Therefore, the lowest common multiple of 8520,4476 is 3177960.
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.
8520 x 4476 = 38135520
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.
8520 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520
4476 : 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476
12 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8520,4476, is 12.
Now, the common factors can be found like this.
8520:2x 2x 2x 3x 5x 71
4476:2x 2x 3x 373
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 = 38135520/(12x1)
LCM = 38135520/12
LCM = 3177960
Thus, we can understand that the LCM of 8520,4476 is 3177960.
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FAQs on LCM of 8520, 4476
1. What is the LCM of 8520, 4476?
Answer: LCM of 8520, 4476 is 3177960.
2. How to calculate the LCM of 8520, 4476?
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 8520, 4476.
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}.