LCM of 910, 658, 614, 711, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 658, 614, 711, 893 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 910, 658, 614, 711, 893. So, keep reading to learn more.
Given numbers are 910,658,614,711,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,658,614,711,893 is 177378438510.
Find LCM of 910,658,614,711,893 with Prime Factorization
| 2 | 910, 658, 614, 711, 893 |
| 7 | 455, 329, 307, 711, 893 |
| 47 | 65, 47, 307, 711, 893 |
| 65, 1, 307, 711, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 47 x 65 x 1 x 307 x 711 x 19 = 177378438510
Therefore, the lowest common multiple of 910,658,614,711,893 is 177378438510.
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.
910 x 658 x 614 x 711 x 893 = 233430025079160
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
658 : 1, 2, 7, 14, 47, 94, 329, 658
614 : 1, 2, 307, 614
711 : 1, 3, 9, 79, 237, 711
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,658,614,711,893, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
658:2x 7x 47
614:2x 307
711:3x 3x 79
893:19x 47
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 7x 47 = 1316
Therefore, the value for common factors is 1316.
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 = 233430025079160/(1x1316)
LCM = 233430025079160/1316
LCM = 177378438510
Thus, we can understand that the LCM of 910,658,614,711,893 is 177378438510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 910, 658, 614, 711, 893
1. What is the LCM of 910, 658, 614, 711, 893?
Answer: LCM of 910, 658, 614, 711, 893 is 177378438510.
2. How to calculate the LCM of 910, 658, 614, 711, 893?
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 910, 658, 614, 711, 893.
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}.