LCM of 892, 812, 667, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 812, 667, 103 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, 812, 667, 103. So, keep reading to learn more.
Given numbers are 892,812,667,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,812,667,103 is 428969044.
Find LCM of 892,812,667,103 with Prime Factorization
| 2 | 892, 812, 667, 103 |
| 2 | 446, 406, 667, 103 |
| 29 | 223, 203, 667, 103 |
| 223, 7, 23, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 223 x 7 x 23 x 103 = 428969044
Therefore, the lowest common multiple of 892,812,667,103 is 428969044.
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 812 x 667 x 103 = 49760409104
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
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
667 : 1, 23, 29, 667
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,812,667,103, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
812:2x 2x 7x 29
667:23x 29
103:103
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 29 = 116
Therefore, the value for common factors is 116.
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 = 49760409104/(1x116)
LCM = 49760409104/116
LCM = 428969044
Thus, we can understand that the LCM of 892,812,667,103 is 428969044.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 892, 812, 667, 103
1. What is the LCM of 892, 812, 667, 103?
Answer: LCM of 892, 812, 667, 103 is 428969044.
2. How to calculate the LCM of 892, 812, 667, 103?
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, 812, 667, 103.
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}.