Find the LCM of 762, 993, 680, 897, 106 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 762, 993, 680, 897, 106. So, keep reading to learn more.
Given numbers are 762,993,680,897,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,993,680,897,106 is 1358967091560.
Find LCM of 762,993,680,897,106 with Prime Factorization
2 | 762, 993, 680, 897, 106 |
3 | 381, 993, 340, 897, 53 |
127, 331, 340, 299, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 331 x 340 x 299 x 53 = 1358967091560
Therefore, the lowest common multiple of 762,993,680,897,106 is 1358967091560.
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.
762 x 993 x 680 x 897 x 106 = 48922815296160
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
993 : 1, 3, 331, 993
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
897 : 1, 3, 13, 23, 39, 69, 299, 897
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,993,680,897,106, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
993:3x 331
680:2x 2x 2x 5x 17
897:3x 13x 23
106:2x 53
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 48922815296160/(1x36)
LCM = 48922815296160/36
LCM = 1358967091560
Thus, we can understand that the LCM of 762,993,680,897,106 is 1358967091560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 993, 680, 897, 106?
Answer: LCM of 762, 993, 680, 897, 106 is 1358967091560.
2. How to calculate the LCM of 762, 993, 680, 897, 106?
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 762, 993, 680, 897, 106.
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}.