LCM of 240, 870, 190, 509, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 870, 190, 509, 938 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 240, 870, 190, 509, 938. So, keep reading to learn more.
Given numbers are 240,870,190,509,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,870,190,509,938 is 31568465040.
Find LCM of 240,870,190,509,938 with Prime Factorization
| 2 | 240, 870, 190, 509, 938 |
| 3 | 120, 435, 95, 509, 469 |
| 5 | 40, 145, 95, 509, 469 |
| 8, 29, 19, 509, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 8 x 29 x 19 x 509 x 469 = 31568465040
Therefore, the lowest common multiple of 240,870,190,509,938 is 31568465040.
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.
240 x 870 x 190 x 509 x 938 = 18941079024000
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
190 : 1, 2, 5, 10, 19, 38, 95, 190
509 : 1, 509
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,870,190,509,938, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
870:2x 3x 5x 29
190:2x 5x 19
509:509
938:2x 7x 67
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 18941079024000/(1x600)
LCM = 18941079024000/600
LCM = 31568465040
Thus, we can understand that the LCM of 240,870,190,509,938 is 31568465040.
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FAQs on LCM of 240, 870, 190, 509, 938
1. What is the LCM of 240, 870, 190, 509, 938?
Answer: LCM of 240, 870, 190, 509, 938 is 31568465040.
2. How to calculate the LCM of 240, 870, 190, 509, 938?
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 240, 870, 190, 509, 938.
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}.