LCM of 397, 140, 663, 975, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 140, 663, 975, 850 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 397, 140, 663, 975, 850. So, keep reading to learn more.
Given numbers are 397,140,663,975,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,140,663,975,850 is 184247700.
Find LCM of 397,140,663,975,850 with Prime Factorization
| 2 | 397, 140, 663, 975, 850 |
| 3 | 397, 70, 663, 975, 425 |
| 5 | 397, 70, 221, 325, 425 |
| 5 | 397, 14, 221, 65, 85 |
| 13 | 397, 14, 221, 13, 17 |
| 17 | 397, 14, 17, 1, 17 |
| 397, 14, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 17 x 397 x 14 x 1 x 1 x 1 = 184247700
Therefore, the lowest common multiple of 397,140,663,975,850 is 184247700.
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.
397 x 140 x 663 x 975 x 850 = 30539056275000
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.
397 : 1, 397
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
663 : 1, 3, 13, 17, 39, 51, 221, 663
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,140,663,975,850, is 1.
Now, the common factors can be found like this.
397:397
140:2x 2x 5x 7
663:3x 13x 17
975:3x 5x 5x 13
850:2x 5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5x 13x 17 = 165750
Therefore, the value for common factors is 165750.
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 = 30539056275000/(1x165750)
LCM = 30539056275000/165750
LCM = 184247700
Thus, we can understand that the LCM of 397,140,663,975,850 is 184247700.
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FAQs on LCM of 397, 140, 663, 975, 850
1. What is the LCM of 397, 140, 663, 975, 850?
Answer: LCM of 397, 140, 663, 975, 850 is 184247700.
2. How to calculate the LCM of 397, 140, 663, 975, 850?
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 397, 140, 663, 975, 850.
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}.