LCM of 769, 610, 465, 240, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 610, 465, 240, 274 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, 610, 465, 240, 274. So, keep reading to learn more.
Given numbers are 769,610,465,240,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,610,465,240,274 is 47813405520.
Find LCM of 769,610,465,240,274 with Prime Factorization
| 2 | 769, 610, 465, 240, 274 |
| 3 | 769, 305, 465, 120, 137 |
| 5 | 769, 305, 155, 40, 137 |
| 769, 61, 31, 8, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 769 x 61 x 31 x 8 x 137 = 47813405520
Therefore, the lowest common multiple of 769,610,465,240,274 is 47813405520.
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 610 x 465 x 240 x 274 = 14344021656000
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
610 : 1, 2, 5, 10, 61, 122, 305, 610
465 : 1, 3, 5, 15, 31, 93, 155, 465
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,610,465,240,274, is 1.
Now, the common factors can be found like this.
769:769
610:2x 5x 61
465:3x 5x 31
240:2x 2x 2x 2x 3x 5
274:2x 137
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 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 14344021656000/(1x300)
LCM = 14344021656000/300
LCM = 47813405520
Thus, we can understand that the LCM of 769,610,465,240,274 is 47813405520.
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FAQs on LCM of 769, 610, 465, 240, 274
1. What is the LCM of 769, 610, 465, 240, 274?
Answer: LCM of 769, 610, 465, 240, 274 is 47813405520.
2. How to calculate the LCM of 769, 610, 465, 240, 274?
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, 610, 465, 240, 274.
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}.