LCM of 376, 660, 223, 854, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 660, 223, 854, 892 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 376, 660, 223, 854, 892. So, keep reading to learn more.
Given numbers are 376,660,223,854,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,660,223,854,892 is 5907510840.
Find LCM of 376,660,223,854,892 with Prime Factorization
| 2 | 376, 660, 223, 854, 892 |
| 2 | 188, 330, 223, 427, 446 |
| 223 | 94, 165, 223, 427, 223 |
| 94, 165, 1, 427, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 223 x 94 x 165 x 1 x 427 x 1 = 5907510840
Therefore, the lowest common multiple of 376,660,223,854,892 is 5907510840.
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.
376 x 660 x 223 x 854 x 892 = 42155997354240
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
223 : 1, 223
854 : 1, 2, 7, 14, 61, 122, 427, 854
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,660,223,854,892, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
660:2x 2x 3x 5x 11
223:223
854:2x 7x 61
892:2x 2x 223
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 2x 2x 223 = 7136
Therefore, the value for common factors is 7136.
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 = 42155997354240/(1x7136)
LCM = 42155997354240/7136
LCM = 5907510840
Thus, we can understand that the LCM of 376,660,223,854,892 is 5907510840.
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FAQs on LCM of 376, 660, 223, 854, 892
1. What is the LCM of 376, 660, 223, 854, 892?
Answer: LCM of 376, 660, 223, 854, 892 is 5907510840.
2. How to calculate the LCM of 376, 660, 223, 854, 892?
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 376, 660, 223, 854, 892.
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}.