LCM of 510, 785, 383, 120, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 785, 383, 120, 936 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 510, 785, 383, 120, 936. So, keep reading to learn more.
Given numbers are 510,785,383,120,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,785,383,120,936 is 4784022360.
Find LCM of 510,785,383,120,936 with Prime Factorization
| 2 | 510, 785, 383, 120, 936 |
| 2 | 255, 785, 383, 60, 468 |
| 2 | 255, 785, 383, 30, 234 |
| 3 | 255, 785, 383, 15, 117 |
| 5 | 85, 785, 383, 5, 39 |
| 17, 157, 383, 1, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 157 x 383 x 1 x 39 = 4784022360
Therefore, the lowest common multiple of 510,785,383,120,936 is 4784022360.
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.
510 x 785 x 383 x 120 x 936 = 17222480496000
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
785 : 1, 5, 157, 785
383 : 1, 383
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,785,383,120,936, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
785:5x 157
383:383
120:2x 2x 2x 3x 5
936:2x 2x 2x 3x 3x 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 3x 3x 5x 5 = 3600
Therefore, the value for common factors is 3600.
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 = 17222480496000/(1x3600)
LCM = 17222480496000/3600
LCM = 4784022360
Thus, we can understand that the LCM of 510,785,383,120,936 is 4784022360.
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FAQs on LCM of 510, 785, 383, 120, 936
1. What is the LCM of 510, 785, 383, 120, 936?
Answer: LCM of 510, 785, 383, 120, 936 is 4784022360.
2. How to calculate the LCM of 510, 785, 383, 120, 936?
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 510, 785, 383, 120, 936.
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}.