LCM of 966, 684, 647, 767, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 684, 647, 767, 528 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 966, 684, 647, 767, 528. So, keep reading to learn more.
Given numbers are 966,684,647,767,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,684,647,767,528 is 2404552694544.
Find LCM of 966,684,647,767,528 with Prime Factorization
| 2 | 966, 684, 647, 767, 528 |
| 2 | 483, 342, 647, 767, 264 |
| 3 | 483, 171, 647, 767, 132 |
| 161, 57, 647, 767, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 161 x 57 x 647 x 767 x 44 = 2404552694544
Therefore, the lowest common multiple of 966,684,647,767,528 is 2404552694544.
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.
966 x 684 x 647 x 767 x 528 = 173127794007168
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
647 : 1, 647
767 : 1, 13, 59, 767
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,684,647,767,528, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
684:2x 2x 3x 3x 19
647:647
767:13x 59
528:2x 2x 2x 2x 3x 11
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 3 = 72
Therefore, the value for common factors is 72.
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 = 173127794007168/(1x72)
LCM = 173127794007168/72
LCM = 2404552694544
Thus, we can understand that the LCM of 966,684,647,767,528 is 2404552694544.
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FAQs on LCM of 966, 684, 647, 767, 528
1. What is the LCM of 966, 684, 647, 767, 528?
Answer: LCM of 966, 684, 647, 767, 528 is 2404552694544.
2. How to calculate the LCM of 966, 684, 647, 767, 528?
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 966, 684, 647, 767, 528.
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}.