LCM of 814, 345, 690, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 345, 690, 978 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 814, 345, 690, 978. So, keep reading to learn more.
Given numbers are 814,345,690,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,345,690,978 is 45775290.
Find LCM of 814,345,690,978 with Prime Factorization
| 2 | 814, 345, 690, 978 |
| 3 | 407, 345, 345, 489 |
| 5 | 407, 115, 115, 163 |
| 23 | 407, 23, 23, 163 |
| 407, 1, 1, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 407 x 1 x 1 x 163 = 45775290
Therefore, the lowest common multiple of 814,345,690,978 is 45775290.
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.
814 x 345 x 690 x 978 = 189509700600
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
345 : 1, 3, 5, 15, 23, 69, 115, 345
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,345,690,978, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
345:3x 5x 23
690:2x 3x 5x 23
978:2x 3x 163
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 5x 23 = 4140
Therefore, the value for common factors is 4140.
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 = 189509700600/(1x4140)
LCM = 189509700600/4140
LCM = 45775290
Thus, we can understand that the LCM of 814,345,690,978 is 45775290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 345, 690, 978
1. What is the LCM of 814, 345, 690, 978?
Answer: LCM of 814, 345, 690, 978 is 45775290.
2. How to calculate the LCM of 814, 345, 690, 978?
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 814, 345, 690, 978.
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}.