LCM of 102, 766, 703, 924, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 766, 703, 924, 777 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 102, 766, 703, 924, 777. So, keep reading to learn more.
Given numbers are 102,766,703,924,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,766,703,924,777 is 4229363292.
Find LCM of 102,766,703,924,777 with Prime Factorization
| 2 | 102, 766, 703, 924, 777 |
| 3 | 51, 383, 703, 462, 777 |
| 7 | 17, 383, 703, 154, 259 |
| 37 | 17, 383, 703, 22, 37 |
| 17, 383, 19, 22, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 37 x 17 x 383 x 19 x 22 x 1 = 4229363292
Therefore, the lowest common multiple of 102,766,703,924,777 is 4229363292.
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.
102 x 766 x 703 x 924 x 777 = 39434583334608
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
766 : 1, 2, 383, 766
703 : 1, 19, 37, 703
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,766,703,924,777, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
766:2x 383
703:19x 37
924:2x 2x 3x 7x 11
777:3x 7x 37
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 3x 7x 37 = 9324
Therefore, the value for common factors is 9324.
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 = 39434583334608/(1x9324)
LCM = 39434583334608/9324
LCM = 4229363292
Thus, we can understand that the LCM of 102,766,703,924,777 is 4229363292.
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FAQs on LCM of 102, 766, 703, 924, 777
1. What is the LCM of 102, 766, 703, 924, 777?
Answer: LCM of 102, 766, 703, 924, 777 is 4229363292.
2. How to calculate the LCM of 102, 766, 703, 924, 777?
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 102, 766, 703, 924, 777.
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}.