LCM of 748, 144, 690, 783
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 144, 690, 783 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 748, 144, 690, 783. So, keep reading to learn more.
Given numbers are 748,144,690,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,144,690,783 is 269414640.
Find LCM of 748,144,690,783 with Prime Factorization
| 2 | 748, 144, 690, 783 |
| 2 | 374, 72, 345, 783 |
| 3 | 187, 36, 345, 783 |
| 3 | 187, 12, 115, 261 |
| 187, 4, 115, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 187 x 4 x 115 x 87 = 269414640
Therefore, the lowest common multiple of 748,144,690,783 is 269414640.
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.
748 x 144 x 690 x 783 = 58193562240
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,144,690,783, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
144:2x 2x 2x 2x 3x 3
690:2x 3x 5x 23
783:3x 3x 3x 29
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 58193562240/(1x216)
LCM = 58193562240/216
LCM = 269414640
Thus, we can understand that the LCM of 748,144,690,783 is 269414640.
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FAQs on LCM of 748, 144, 690, 783
1. What is the LCM of 748, 144, 690, 783?
Answer: LCM of 748, 144, 690, 783 is 269414640.
2. How to calculate the LCM of 748, 144, 690, 783?
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 748, 144, 690, 783.
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}.