LCM of 532, 923, 962, 363, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 923, 962, 363, 946 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 532, 923, 962, 363, 946. So, keep reading to learn more.
Given numbers are 532,923,962,363,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,923,962,363,946 is 283589494188.
Find LCM of 532,923,962,363,946 with Prime Factorization
| 2 | 532, 923, 962, 363, 946 |
| 11 | 266, 923, 481, 363, 473 |
| 13 | 266, 923, 481, 33, 43 |
| 266, 71, 37, 33, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 266 x 71 x 37 x 33 x 43 = 283589494188
Therefore, the lowest common multiple of 532,923,962,363,946 is 283589494188.
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.
532 x 923 x 962 x 363 x 946 = 162213190675536
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
923 : 1, 13, 71, 923
962 : 1, 2, 13, 26, 37, 74, 481, 962
363 : 1, 3, 11, 33, 121, 363
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,923,962,363,946, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
923:13x 71
962:2x 13x 37
363:3x 11x 11
946:2x 11x 43
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 162213190675536/(1x572)
LCM = 162213190675536/572
LCM = 283589494188
Thus, we can understand that the LCM of 532,923,962,363,946 is 283589494188.
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FAQs on LCM of 532, 923, 962, 363, 946
1. What is the LCM of 532, 923, 962, 363, 946?
Answer: LCM of 532, 923, 962, 363, 946 is 283589494188.
2. How to calculate the LCM of 532, 923, 962, 363, 946?
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 532, 923, 962, 363, 946.
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}.