LCM of 693, 783, 234, 844, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 783, 234, 844, 507 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 693, 783, 234, 844, 507. So, keep reading to learn more.
Given numbers are 693,783,234,844,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,783,234,844,507 is 8599667076.
Find LCM of 693,783,234,844,507 with Prime Factorization
| 2 | 693, 783, 234, 844, 507 |
| 3 | 693, 783, 117, 422, 507 |
| 3 | 231, 261, 39, 422, 169 |
| 13 | 77, 87, 13, 422, 169 |
| 77, 87, 1, 422, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 77 x 87 x 1 x 422 x 13 = 8599667076
Therefore, the lowest common multiple of 693,783,234,844,507 is 8599667076.
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.
693 x 783 x 234 x 844 x 507 = 54332696586168
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
783 : 1, 3, 9, 27, 29, 87, 261, 783
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
844 : 1, 2, 4, 211, 422, 844
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,783,234,844,507, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
783:3x 3x 3x 29
234:2x 3x 3x 13
844:2x 2x 211
507:3x 13x 13
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 3x 3x 13 = 6318
Therefore, the value for common factors is 6318.
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 = 54332696586168/(1x6318)
LCM = 54332696586168/6318
LCM = 8599667076
Thus, we can understand that the LCM of 693,783,234,844,507 is 8599667076.
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FAQs on LCM of 693, 783, 234, 844, 507
1. What is the LCM of 693, 783, 234, 844, 507?
Answer: LCM of 693, 783, 234, 844, 507 is 8599667076.
2. How to calculate the LCM of 693, 783, 234, 844, 507?
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 693, 783, 234, 844, 507.
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}.