LCM of 769, 664, 780, 190, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 664, 780, 190, 133 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 769, 664, 780, 190, 133. So, keep reading to learn more.
Given numbers are 769,664,780,190,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,664,780,190,133 is 13242825960.
Find LCM of 769,664,780,190,133 with Prime Factorization
| 2 | 769, 664, 780, 190, 133 |
| 2 | 769, 332, 390, 95, 133 |
| 5 | 769, 166, 195, 95, 133 |
| 19 | 769, 166, 39, 19, 133 |
| 769, 166, 39, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 769 x 166 x 39 x 1 x 7 = 13242825960
Therefore, the lowest common multiple of 769,664,780,190,133 is 13242825960.
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.
769 x 664 x 780 x 190 x 133 = 10064547729600
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.
769 : 1, 769
664 : 1, 2, 4, 8, 83, 166, 332, 664
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
190 : 1, 2, 5, 10, 19, 38, 95, 190
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,664,780,190,133, is 1.
Now, the common factors can be found like this.
769:769
664:2x 2x 2x 83
780:2x 2x 3x 5x 13
190:2x 5x 19
133:7x 19
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 5x 19 = 760
Therefore, the value for common factors is 760.
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 = 10064547729600/(1x760)
LCM = 10064547729600/760
LCM = 13242825960
Thus, we can understand that the LCM of 769,664,780,190,133 is 13242825960.
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FAQs on LCM of 769, 664, 780, 190, 133
1. What is the LCM of 769, 664, 780, 190, 133?
Answer: LCM of 769, 664, 780, 190, 133 is 13242825960.
2. How to calculate the LCM of 769, 664, 780, 190, 133?
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 769, 664, 780, 190, 133.
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}.