LCM of 705, 429, 646, 966, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 429, 646, 966, 961 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 705, 429, 646, 966, 961. So, keep reading to learn more.
Given numbers are 705,429,646,966,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,429,646,966,961 is 10076435659290.
Find LCM of 705,429,646,966,961 with Prime Factorization
| 2 | 705, 429, 646, 966, 961 |
| 3 | 705, 429, 323, 483, 961 |
| 235, 143, 323, 161, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 235 x 143 x 323 x 161 x 961 = 10076435659290
Therefore, the lowest common multiple of 705,429,646,966,961 is 10076435659290.
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.
705 x 429 x 646 x 966 x 961 = 181375841867220
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
429 : 1, 3, 11, 13, 33, 39, 143, 429
646 : 1, 2, 17, 19, 34, 38, 323, 646
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,429,646,966,961, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
429:3x 11x 13
646:2x 17x 19
966:2x 3x 7x 23
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 181375841867220/(1x18)
LCM = 181375841867220/18
LCM = 10076435659290
Thus, we can understand that the LCM of 705,429,646,966,961 is 10076435659290.
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FAQs on LCM of 705, 429, 646, 966, 961
1. What is the LCM of 705, 429, 646, 966, 961?
Answer: LCM of 705, 429, 646, 966, 961 is 10076435659290.
2. How to calculate the LCM of 705, 429, 646, 966, 961?
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 705, 429, 646, 966, 961.
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}.