LCM of 883, 596, 630, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 883, 596, 630, 720 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 883, 596, 630, 720. So, keep reading to learn more.
Given numbers are 883,596,630,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 883,596,630,720 is 663097680.
Find LCM of 883,596,630,720 with Prime Factorization
| 2 | 883, 596, 630, 720 |
| 2 | 883, 298, 315, 360 |
| 3 | 883, 149, 315, 180 |
| 3 | 883, 149, 105, 60 |
| 5 | 883, 149, 35, 20 |
| 883, 149, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 883 x 149 x 7 x 4 = 663097680
Therefore, the lowest common multiple of 883,596,630,720 is 663097680.
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.
883 x 596 x 630 x 720 = 238715164800
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.
883 : 1, 883
596 : 1, 2, 4, 149, 298, 596
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,596,630,720, is 1.
Now, the common factors can be found like this.
883:883
596:2x 2x 149
630:2x 3x 3x 5x 7
720:2x 2x 2x 2x 3x 3x 5
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 238715164800/(1x360)
LCM = 238715164800/360
LCM = 663097680
Thus, we can understand that the LCM of 883,596,630,720 is 663097680.
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FAQs on LCM of 883, 596, 630, 720
1. What is the LCM of 883, 596, 630, 720?
Answer: LCM of 883, 596, 630, 720 is 663097680.
2. How to calculate the LCM of 883, 596, 630, 720?
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 883, 596, 630, 720.
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}.