LCM of 803, 584, 735, 315, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 584, 735, 315, 120 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 803, 584, 735, 315, 120. So, keep reading to learn more.
Given numbers are 803,584,735,315,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,584,735,315,120 is 14164920.
Find LCM of 803,584,735,315,120 with Prime Factorization
| 2 | 803, 584, 735, 315, 120 |
| 2 | 803, 292, 735, 315, 60 |
| 2 | 803, 146, 735, 315, 30 |
| 3 | 803, 73, 735, 315, 15 |
| 5 | 803, 73, 245, 105, 5 |
| 7 | 803, 73, 49, 21, 1 |
| 73 | 803, 73, 7, 3, 1 |
| 11, 1, 7, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 73 x 11 x 1 x 7 x 3 x 1 = 14164920
Therefore, the lowest common multiple of 803,584,735,315,120 is 14164920.
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.
803 x 584 x 735 x 315 x 120 = 13028893416000
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.
803 : 1, 11, 73, 803
584 : 1, 2, 4, 8, 73, 146, 292, 584
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,584,735,315,120, is 1.
Now, the common factors can be found like this.
803:11x 73
584:2x 2x 2x 73
735:3x 5x 7x 7
315:3x 3x 5x 7
120:2x 2x 2x 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 5x 5x 7x 73 = 919800
Therefore, the value for common factors is 919800.
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 = 13028893416000/(1x919800)
LCM = 13028893416000/919800
LCM = 14164920
Thus, we can understand that the LCM of 803,584,735,315,120 is 14164920.
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FAQs on LCM of 803, 584, 735, 315, 120
1. What is the LCM of 803, 584, 735, 315, 120?
Answer: LCM of 803, 584, 735, 315, 120 is 14164920.
2. How to calculate the LCM of 803, 584, 735, 315, 120?
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 803, 584, 735, 315, 120.
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}.