LCM of 997, 338, 750, 260, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 338, 750, 260, 708 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 997, 338, 750, 260, 708. So, keep reading to learn more.
Given numbers are 997,338,750,260,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,338,750,260,708 is 14911630500.
Find LCM of 997,338,750,260,708 with Prime Factorization
| 2 | 997, 338, 750, 260, 708 |
| 2 | 997, 169, 375, 130, 354 |
| 3 | 997, 169, 375, 65, 177 |
| 5 | 997, 169, 125, 65, 59 |
| 13 | 997, 169, 25, 13, 59 |
| 997, 1, 25, 13, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 997 x 1 x 25 x 13 x 59 = 14911630500
Therefore, the lowest common multiple of 997,338,750,260,708 is 14911630500.
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.
997 x 338 x 750 x 260 x 708 = 46524287160000
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.
997 : 1, 997
338 : 1, 2, 13, 26, 169, 338
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,338,750,260,708, is 1.
Now, the common factors can be found like this.
997:997
338:2x 13x 13
750:2x 3x 5x 5x 5
260:2x 2x 5x 13
708:2x 2x 3x 59
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 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 46524287160000/(1x3120)
LCM = 46524287160000/3120
LCM = 14911630500
Thus, we can understand that the LCM of 997,338,750,260,708 is 14911630500.
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FAQs on LCM of 997, 338, 750, 260, 708
1. What is the LCM of 997, 338, 750, 260, 708?
Answer: LCM of 997, 338, 750, 260, 708 is 14911630500.
2. How to calculate the LCM of 997, 338, 750, 260, 708?
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 997, 338, 750, 260, 708.
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}.