LCM of 812, 177, 592, 970, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 177, 592, 970, 894 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 812, 177, 592, 970, 894. So, keep reading to learn more.
Given numbers are 812,177,592,970,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,177,592,970,894 is 1537159799280.
Find LCM of 812,177,592,970,894 with Prime Factorization
| 2 | 812, 177, 592, 970, 894 |
| 2 | 406, 177, 296, 485, 447 |
| 3 | 203, 177, 148, 485, 447 |
| 203, 59, 148, 485, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 203 x 59 x 148 x 485 x 149 = 1537159799280
Therefore, the lowest common multiple of 812,177,592,970,894 is 1537159799280.
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.
812 x 177 x 592 x 970 x 894 = 73783670365440
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
177 : 1, 3, 59, 177
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
970 : 1, 2, 5, 10, 97, 194, 485, 970
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,177,592,970,894, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
177:3x 59
592:2x 2x 2x 2x 37
970:2x 5x 97
894:2x 3x 149
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 3 = 48
Therefore, the value for common factors is 48.
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 = 73783670365440/(1x48)
LCM = 73783670365440/48
LCM = 1537159799280
Thus, we can understand that the LCM of 812,177,592,970,894 is 1537159799280.
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FAQs on LCM of 812, 177, 592, 970, 894
1. What is the LCM of 812, 177, 592, 970, 894?
Answer: LCM of 812, 177, 592, 970, 894 is 1537159799280.
2. How to calculate the LCM of 812, 177, 592, 970, 894?
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 812, 177, 592, 970, 894.
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}.