LCM of 360, 870, 458, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 870, 458, 768 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 360, 870, 458, 768. So, keep reading to learn more.
Given numbers are 360,870,458,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,870,458,768 is 76504320.
Find LCM of 360,870,458,768 with Prime Factorization
| 2 | 360, 870, 458, 768 |
| 2 | 180, 435, 229, 384 |
| 2 | 90, 435, 229, 192 |
| 3 | 45, 435, 229, 96 |
| 5 | 15, 145, 229, 32 |
| 3, 29, 229, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 3 x 29 x 229 x 32 = 76504320
Therefore, the lowest common multiple of 360,870,458,768 is 76504320.
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.
360 x 870 x 458 x 768 = 110166220800
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.
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
458 : 1, 2, 229, 458
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,870,458,768, is 2.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
870:2x 3x 5x 29
458:2x 229
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 110166220800/(2x720)
LCM = 110166220800/1440
LCM = 76504320
Thus, we can understand that the LCM of 360,870,458,768 is 76504320.
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FAQs on LCM of 360, 870, 458, 768
1. What is the LCM of 360, 870, 458, 768?
Answer: LCM of 360, 870, 458, 768 is 76504320.
2. How to calculate the LCM of 360, 870, 458, 768?
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 360, 870, 458, 768.
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}.