LCM of 628, 875, 892, 966, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 875, 892, 966, 721 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 628, 875, 892, 966, 721. So, keep reading to learn more.
Given numbers are 628,875,892,966,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,875,892,966,721 is 870881119500.
Find LCM of 628,875,892,966,721 with Prime Factorization
| 2 | 628, 875, 892, 966, 721 |
| 2 | 314, 875, 446, 483, 721 |
| 7 | 157, 875, 223, 483, 721 |
| 157, 125, 223, 69, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 157 x 125 x 223 x 69 x 103 = 870881119500
Therefore, the lowest common multiple of 628,875,892,966,721 is 870881119500.
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.
628 x 875 x 892 x 966 x 721 = 341385398844000
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.
628 : 1, 2, 4, 157, 314, 628
875 : 1, 5, 7, 25, 35, 125, 175, 875
892 : 1, 2, 4, 223, 446, 892
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,875,892,966,721, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
875:5x 5x 5x 7
892:2x 2x 223
966:2x 3x 7x 23
721:7x 103
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 7 = 392
Therefore, the value for common factors is 392.
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 = 341385398844000/(1x392)
LCM = 341385398844000/392
LCM = 870881119500
Thus, we can understand that the LCM of 628,875,892,966,721 is 870881119500.
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FAQs on LCM of 628, 875, 892, 966, 721
1. What is the LCM of 628, 875, 892, 966, 721?
Answer: LCM of 628, 875, 892, 966, 721 is 870881119500.
2. How to calculate the LCM of 628, 875, 892, 966, 721?
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 628, 875, 892, 966, 721.
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}.