LCM of 892, 492, 222, 903, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 492, 222, 903, 672 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 892, 492, 222, 903, 672. So, keep reading to learn more.
Given numbers are 892,492,222,903,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,492,222,903,672 is 9775256736.
Find LCM of 892,492,222,903,672 with Prime Factorization
| 2 | 892, 492, 222, 903, 672 |
| 2 | 446, 246, 111, 903, 336 |
| 3 | 223, 123, 111, 903, 168 |
| 7 | 223, 41, 37, 301, 56 |
| 223, 41, 37, 43, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 223 x 41 x 37 x 43 x 8 = 9775256736
Therefore, the lowest common multiple of 892,492,222,903,672 is 9775256736.
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.
892 x 492 x 222 x 903 x 672 = 59120752739328
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.
892 : 1, 2, 4, 223, 446, 892
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
222 : 1, 2, 3, 6, 37, 74, 111, 222
903 : 1, 3, 7, 21, 43, 129, 301, 903
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,492,222,903,672, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
492:2x 2x 3x 41
222:2x 3x 37
903:3x 7x 43
672:2x 2x 2x 2x 2x 3x 7
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 3x 3x 3x 7 = 6048
Therefore, the value for common factors is 6048.
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 = 59120752739328/(1x6048)
LCM = 59120752739328/6048
LCM = 9775256736
Thus, we can understand that the LCM of 892,492,222,903,672 is 9775256736.
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FAQs on LCM of 892, 492, 222, 903, 672
1. What is the LCM of 892, 492, 222, 903, 672?
Answer: LCM of 892, 492, 222, 903, 672 is 9775256736.
2. How to calculate the LCM of 892, 492, 222, 903, 672?
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 892, 492, 222, 903, 672.
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}.