LCM of 932, 278, 602, 946, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 278, 602, 946, 399 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 932, 278, 602, 946, 399. So, keep reading to learn more.
Given numbers are 932,278,602,946,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,278,602,946,399 is 24449205396.
Find LCM of 932,278,602,946,399 with Prime Factorization
| 2 | 932, 278, 602, 946, 399 |
| 7 | 466, 139, 301, 473, 399 |
| 43 | 466, 139, 43, 473, 57 |
| 466, 139, 1, 11, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 43 x 466 x 139 x 1 x 11 x 57 = 24449205396
Therefore, the lowest common multiple of 932,278,602,946,399 is 24449205396.
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.
932 x 278 x 602 x 946 x 399 = 58873686593568
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.
932 : 1, 2, 4, 233, 466, 932
278 : 1, 2, 139, 278
602 : 1, 2, 7, 14, 43, 86, 301, 602
946 : 1, 2, 11, 22, 43, 86, 473, 946
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,278,602,946,399, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
278:2x 139
602:2x 7x 43
946:2x 11x 43
399:3x 7x 19
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 7x 43 = 2408
Therefore, the value for common factors is 2408.
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 = 58873686593568/(1x2408)
LCM = 58873686593568/2408
LCM = 24449205396
Thus, we can understand that the LCM of 932,278,602,946,399 is 24449205396.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 932, 278, 602, 946, 399
1. What is the LCM of 932, 278, 602, 946, 399?
Answer: LCM of 932, 278, 602, 946, 399 is 24449205396.
2. How to calculate the LCM of 932, 278, 602, 946, 399?
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 932, 278, 602, 946, 399.
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}.