LCM of 785, 423, 113, 280, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 423, 113, 280, 940 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 785, 423, 113, 280, 940. So, keep reading to learn more.
Given numbers are 785,423,113,280,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,423,113,280,940 is 2101244040.
Find LCM of 785,423,113,280,940 with Prime Factorization
| 2 | 785, 423, 113, 280, 940 |
| 2 | 785, 423, 113, 140, 470 |
| 5 | 785, 423, 113, 70, 235 |
| 47 | 157, 423, 113, 14, 47 |
| 157, 9, 113, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 157 x 9 x 113 x 14 x 1 = 2101244040
Therefore, the lowest common multiple of 785,423,113,280,940 is 2101244040.
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.
785 x 423 x 113 x 280 x 940 = 9875846988000
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.
785 : 1, 5, 157, 785
423 : 1, 3, 9, 47, 141, 423
113 : 1, 113
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,423,113,280,940, is 1.
Now, the common factors can be found like this.
785:5x 157
423:3x 3x 47
113:113
280:2x 2x 2x 5x 7
940:2x 2x 5x 47
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 5x 5x 47 = 4700
Therefore, the value for common factors is 4700.
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 = 9875846988000/(1x4700)
LCM = 9875846988000/4700
LCM = 2101244040
Thus, we can understand that the LCM of 785,423,113,280,940 is 2101244040.
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FAQs on LCM of 785, 423, 113, 280, 940
1. What is the LCM of 785, 423, 113, 280, 940?
Answer: LCM of 785, 423, 113, 280, 940 is 2101244040.
2. How to calculate the LCM of 785, 423, 113, 280, 940?
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 785, 423, 113, 280, 940.
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}.