LCM of 445, 535, 398, 214, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 535, 398, 214, 947 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 445, 535, 398, 214, 947. So, keep reading to learn more.
Given numbers are 445,535,398,214,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,535,398,214,947 is 17946379190.
Find LCM of 445,535,398,214,947 with Prime Factorization
| 2 | 445, 535, 398, 214, 947 |
| 5 | 445, 535, 199, 107, 947 |
| 107 | 89, 107, 199, 107, 947 |
| 89, 1, 199, 1, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 107 x 89 x 1 x 199 x 1 x 947 = 17946379190
Therefore, the lowest common multiple of 445,535,398,214,947 is 17946379190.
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.
445 x 535 x 398 x 214 x 947 = 19202625733300
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.
445 : 1, 5, 89, 445
535 : 1, 5, 107, 535
398 : 1, 2, 199, 398
214 : 1, 2, 107, 214
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,535,398,214,947, is 1.
Now, the common factors can be found like this.
445:5x 89
535:5x 107
398:2x 199
214:2x 107
947:947
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 107 = 1070
Therefore, the value for common factors is 1070.
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 = 19202625733300/(1x1070)
LCM = 19202625733300/1070
LCM = 17946379190
Thus, we can understand that the LCM of 445,535,398,214,947 is 17946379190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 445, 535, 398, 214, 947
1. What is the LCM of 445, 535, 398, 214, 947?
Answer: LCM of 445, 535, 398, 214, 947 is 17946379190.
2. How to calculate the LCM of 445, 535, 398, 214, 947?
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 445, 535, 398, 214, 947.
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}.