LCM of 690, 759, 677, 693, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 759, 677, 693, 220 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 690, 759, 677, 693, 220. So, keep reading to learn more.
Given numbers are 690,759,677,693,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,759,677,693,220 is 215814060.
Find LCM of 690,759,677,693,220 with Prime Factorization
| 2 | 690, 759, 677, 693, 220 |
| 3 | 345, 759, 677, 693, 110 |
| 5 | 115, 253, 677, 231, 110 |
| 11 | 23, 253, 677, 231, 22 |
| 23 | 23, 23, 677, 21, 2 |
| 1, 1, 677, 21, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 23 x 1 x 1 x 677 x 21 x 2 = 215814060
Therefore, the lowest common multiple of 690,759,677,693,220 is 215814060.
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.
690 x 759 x 677 x 693 x 220 = 54054947608200
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
759 : 1, 3, 11, 23, 33, 69, 253, 759
677 : 1, 677
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,759,677,693,220, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
759:3x 11x 23
677:677
693:3x 3x 7x 11
220:2x 2x 5x 11
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 5x 11x 11x 23 = 250470
Therefore, the value for common factors is 250470.
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 = 54054947608200/(1x250470)
LCM = 54054947608200/250470
LCM = 215814060
Thus, we can understand that the LCM of 690,759,677,693,220 is 215814060.
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FAQs on LCM of 690, 759, 677, 693, 220
1. What is the LCM of 690, 759, 677, 693, 220?
Answer: LCM of 690, 759, 677, 693, 220 is 215814060.
2. How to calculate the LCM of 690, 759, 677, 693, 220?
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 690, 759, 677, 693, 220.
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}.