LCM of 398, 360, 943, 870, 597
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 360, 943, 870, 597 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 398, 360, 943, 870, 597. So, keep reading to learn more.
Given numbers are 398,360,943,870,597
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,360,943,870,597 is 1959139080.
Find LCM of 398,360,943,870,597 with Prime Factorization
| 2 | 398, 360, 943, 870, 597 |
| 3 | 199, 180, 943, 435, 597 |
| 5 | 199, 60, 943, 145, 199 |
| 199 | 199, 12, 943, 29, 199 |
| 1, 12, 943, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 199 x 1 x 12 x 943 x 29 x 1 = 1959139080
Therefore, the lowest common multiple of 398,360,943,870,597 is 1959139080.
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.
398 x 360 x 943 x 870 x 597 = 70176361845600
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.
398 : 1, 2, 199, 398
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
943 : 1, 23, 41, 943
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
597 : 1, 3, 199, 597
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,360,943,870,597, is 1.
Now, the common factors can be found like this.
398:2x 199
360:2x 2x 2x 3x 3x 5
943:23x 41
870:2x 3x 5x 29
597:3x 199
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 3x 3x 5x 199 = 35820
Therefore, the value for common factors is 35820.
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 = 70176361845600/(1x35820)
LCM = 70176361845600/35820
LCM = 1959139080
Thus, we can understand that the LCM of 398,360,943,870,597 is 1959139080.
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FAQs on LCM of 398, 360, 943, 870, 597
1. What is the LCM of 398, 360, 943, 870, 597?
Answer: LCM of 398, 360, 943, 870, 597 is 1959139080.
2. How to calculate the LCM of 398, 360, 943, 870, 597?
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 398, 360, 943, 870, 597.
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}.