LCM of 398, 357, 853, 220, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 357, 853, 220, 565 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, 357, 853, 220, 565. So, keep reading to learn more.
Given numbers are 398,357,853,220,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,357,853,220,565 is 1506508019940.
Find LCM of 398,357,853,220,565 with Prime Factorization
| 2 | 398, 357, 853, 220, 565 |
| 5 | 199, 357, 853, 110, 565 |
| 199, 357, 853, 22, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 199 x 357 x 853 x 22 x 113 = 1506508019940
Therefore, the lowest common multiple of 398,357,853,220,565 is 1506508019940.
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 357 x 853 x 220 x 565 = 15065080199400
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
357 : 1, 3, 7, 17, 21, 51, 119, 357
853 : 1, 853
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,357,853,220,565, is 1.
Now, the common factors can be found like this.
398:2x 199
357:3x 7x 17
853:853
220:2x 2x 5x 11
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 15065080199400/(1x10)
LCM = 15065080199400/10
LCM = 1506508019940
Thus, we can understand that the LCM of 398,357,853,220,565 is 1506508019940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 357, 853, 220, 565
1. What is the LCM of 398, 357, 853, 220, 565?
Answer: LCM of 398, 357, 853, 220, 565 is 1506508019940.
2. How to calculate the LCM of 398, 357, 853, 220, 565?
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, 357, 853, 220, 565.
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}.