LCM of 692, 638, 945, 812, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 638, 945, 812, 891 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 692, 638, 945, 812, 891. So, keep reading to learn more.
Given numbers are 692,638,945,812,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,638,945,812,891 is 625820580.
Find LCM of 692,638,945,812,891 with Prime Factorization
| 2 | 692, 638, 945, 812, 891 |
| 2 | 346, 319, 945, 406, 891 |
| 3 | 173, 319, 945, 203, 891 |
| 3 | 173, 319, 315, 203, 297 |
| 3 | 173, 319, 105, 203, 99 |
| 7 | 173, 319, 35, 203, 33 |
| 11 | 173, 319, 5, 29, 33 |
| 29 | 173, 29, 5, 29, 3 |
| 173, 1, 5, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 7 x 11 x 29 x 173 x 1 x 5 x 1 x 3 = 625820580
Therefore, the lowest common multiple of 692,638,945,812,891 is 625820580.
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.
692 x 638 x 945 x 812 x 891 = 301850788710240
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.
692 : 1, 2, 4, 173, 346, 692
638 : 1, 2, 11, 22, 29, 58, 319, 638
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,638,945,812,891, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
638:2x 11x 29
945:3x 3x 3x 5x 7
812:2x 2x 7x 29
891:3x 3x 3x 3x 11
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 3x 3x 3x 7x 11x 29 = 482328
Therefore, the value for common factors is 482328.
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 = 301850788710240/(1x482328)
LCM = 301850788710240/482328
LCM = 625820580
Thus, we can understand that the LCM of 692,638,945,812,891 is 625820580.
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FAQs on LCM of 692, 638, 945, 812, 891
1. What is the LCM of 692, 638, 945, 812, 891?
Answer: LCM of 692, 638, 945, 812, 891 is 625820580.
2. How to calculate the LCM of 692, 638, 945, 812, 891?
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 692, 638, 945, 812, 891.
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}.