LCM of 322, 769, 840, 745, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 769, 840, 745, 904 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 322, 769, 840, 745, 904. So, keep reading to learn more.
Given numbers are 322,769,840,745,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,769,840,745,904 is 250148655960.
Find LCM of 322,769,840,745,904 with Prime Factorization
| 2 | 322, 769, 840, 745, 904 |
| 2 | 161, 769, 420, 745, 452 |
| 2 | 161, 769, 210, 745, 226 |
| 5 | 161, 769, 105, 745, 113 |
| 7 | 161, 769, 21, 149, 113 |
| 23, 769, 3, 149, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 23 x 769 x 3 x 149 x 113 = 250148655960
Therefore, the lowest common multiple of 322,769,840,745,904 is 250148655960.
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.
322 x 769 x 840 x 745 x 904 = 140083247337600
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
769 : 1, 769
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
745 : 1, 5, 149, 745
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,769,840,745,904, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
769:769
840:2x 2x 2x 3x 5x 7
745:5x 149
904:2x 2x 2x 113
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 2x 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 140083247337600/(1x560)
LCM = 140083247337600/560
LCM = 250148655960
Thus, we can understand that the LCM of 322,769,840,745,904 is 250148655960.
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FAQs on LCM of 322, 769, 840, 745, 904
1. What is the LCM of 322, 769, 840, 745, 904?
Answer: LCM of 322, 769, 840, 745, 904 is 250148655960.
2. How to calculate the LCM of 322, 769, 840, 745, 904?
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 322, 769, 840, 745, 904.
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}.