LCM of 109, 868, 865, 754, 620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 109, 868, 865, 754, 620 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 109, 868, 865, 754, 620. So, keep reading to learn more.
Given numbers are 109,868,865,754,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,868,865,754,620 is 30853446260.
Find LCM of 109,868,865,754,620 with Prime Factorization
| 2 | 109, 868, 865, 754, 620 |
| 2 | 109, 434, 865, 377, 310 |
| 5 | 109, 217, 865, 377, 155 |
| 31 | 109, 217, 173, 377, 31 |
| 109, 7, 173, 377, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 109 x 7 x 173 x 377 x 1 = 30853446260
Therefore, the lowest common multiple of 109,868,865,754,620 is 30853446260.
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.
109 x 868 x 865 x 754 x 620 = 38258273362400
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.
109 : 1, 109
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
865 : 1, 5, 173, 865
754 : 1, 2, 13, 26, 29, 58, 377, 754
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,868,865,754,620, is 1.
Now, the common factors can be found like this.
109:109
868:2x 2x 7x 31
865:5x 173
754:2x 13x 29
620:2x 2x 5x 31
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 5x 31 = 1240
Therefore, the value for common factors is 1240.
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 = 38258273362400/(1x1240)
LCM = 38258273362400/1240
LCM = 30853446260
Thus, we can understand that the LCM of 109,868,865,754,620 is 30853446260.
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FAQs on LCM of 109, 868, 865, 754, 620
1. What is the LCM of 109, 868, 865, 754, 620?
Answer: LCM of 109, 868, 865, 754, 620 is 30853446260.
2. How to calculate the LCM of 109, 868, 865, 754, 620?
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 109, 868, 865, 754, 620.
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}.