LCM of 629, 978, 858, 690, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 978, 858, 690, 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 629, 978, 858, 690, 946. So, keep reading to learn more.
Given numbers are 629,978,858,690,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,978,858,690,946 is 435002580870.
Find LCM of 629,978,858,690,946 with Prime Factorization
| 2 | 629, 978, 858, 690, 946 |
| 3 | 629, 489, 429, 345, 473 |
| 11 | 629, 163, 143, 115, 473 |
| 629, 163, 13, 115, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 629 x 163 x 13 x 115 x 43 = 435002580870
Therefore, the lowest common multiple of 629,978,858,690,946 is 435002580870.
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.
629 x 978 x 858 x 690 x 946 = 344522044049040
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.
629 : 1, 17, 37, 629
978 : 1, 2, 3, 6, 163, 326, 489, 978
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
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 629,978,858,690,946, is 1.
Now, the common factors can be found like this.
629:17x 37
978:2x 3x 163
858:2x 3x 11x 13
690:2x 3x 5x 23
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 2x 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 344522044049040/(1x792)
LCM = 344522044049040/792
LCM = 435002580870
Thus, we can understand that the LCM of 629,978,858,690,946 is 435002580870.
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FAQs on LCM of 629, 978, 858, 690, 946
1. What is the LCM of 629, 978, 858, 690, 946?
Answer: LCM of 629, 978, 858, 690, 946 is 435002580870.
2. How to calculate the LCM of 629, 978, 858, 690, 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 629, 978, 858, 690, 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}.