LCM of 695, 459, 670, 783, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 459, 670, 783, 464 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 695, 459, 670, 783, 464. So, keep reading to learn more.
Given numbers are 695,459,670,783,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,459,670,783,464 is 9917227440.
Find LCM of 695,459,670,783,464 with Prime Factorization
| 2 | 695, 459, 670, 783, 464 |
| 3 | 695, 459, 335, 783, 232 |
| 3 | 695, 153, 335, 261, 232 |
| 3 | 695, 51, 335, 87, 232 |
| 5 | 695, 17, 335, 29, 232 |
| 29 | 139, 17, 67, 29, 232 |
| 139, 17, 67, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 29 x 139 x 17 x 67 x 1 x 8 = 9917227440
Therefore, the lowest common multiple of 695,459,670,783,464 is 9917227440.
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.
695 x 459 x 670 x 783 x 464 = 77651890855200
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.
695 : 1, 5, 139, 695
459 : 1, 3, 9, 17, 27, 51, 153, 459
670 : 1, 2, 5, 10, 67, 134, 335, 670
783 : 1, 3, 9, 27, 29, 87, 261, 783
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,459,670,783,464, is 1.
Now, the common factors can be found like this.
695:5x 139
459:3x 3x 3x 17
670:2x 5x 67
783:3x 3x 3x 29
464:2x 2x 2x 2x 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 3x 3x 3x 5x 29 = 7830
Therefore, the value for common factors is 7830.
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 = 77651890855200/(1x7830)
LCM = 77651890855200/7830
LCM = 9917227440
Thus, we can understand that the LCM of 695,459,670,783,464 is 9917227440.
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FAQs on LCM of 695, 459, 670, 783, 464
1. What is the LCM of 695, 459, 670, 783, 464?
Answer: LCM of 695, 459, 670, 783, 464 is 9917227440.
2. How to calculate the LCM of 695, 459, 670, 783, 464?
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 695, 459, 670, 783, 464.
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}.