LCM of 699, 968, 762, 678, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 968, 762, 678, 735 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 699, 968, 762, 678, 735. So, keep reading to learn more.
Given numbers are 699,968,762,678,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,968,762,678,735 is 2379034728840.
Find LCM of 699,968,762,678,735 with Prime Factorization
| 2 | 699, 968, 762, 678, 735 |
| 3 | 699, 484, 381, 339, 735 |
| 233, 484, 127, 113, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 233 x 484 x 127 x 113 x 245 = 2379034728840
Therefore, the lowest common multiple of 699,968,762,678,735 is 2379034728840.
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.
699 x 968 x 762 x 678 x 735 = 256935750714720
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.
699 : 1, 3, 233, 699
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
762 : 1, 2, 3, 6, 127, 254, 381, 762
678 : 1, 2, 3, 6, 113, 226, 339, 678
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,968,762,678,735, is 1.
Now, the common factors can be found like this.
699:3x 233
968:2x 2x 2x 11x 11
762:2x 3x 127
678:2x 3x 113
735:3x 5x 7x 7
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 3 = 108
Therefore, the value for common factors is 108.
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 = 256935750714720/(1x108)
LCM = 256935750714720/108
LCM = 2379034728840
Thus, we can understand that the LCM of 699,968,762,678,735 is 2379034728840.
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FAQs on LCM of 699, 968, 762, 678, 735
1. What is the LCM of 699, 968, 762, 678, 735?
Answer: LCM of 699, 968, 762, 678, 735 is 2379034728840.
2. How to calculate the LCM of 699, 968, 762, 678, 735?
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 699, 968, 762, 678, 735.
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}.