LCM of 693, 721, 661, 956, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 721, 661, 956, 594 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, 721, 661, 956, 594. So, keep reading to learn more.
Given numbers are 693,721,661,956,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,721,661,956,594 is 135316596492.
Find LCM of 693,721,661,956,594 with Prime Factorization
| 2 | 693, 721, 661, 956, 594 |
| 3 | 693, 721, 661, 478, 297 |
| 3 | 231, 721, 661, 478, 99 |
| 7 | 77, 721, 661, 478, 33 |
| 11 | 11, 103, 661, 478, 33 |
| 1, 103, 661, 478, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 1 x 103 x 661 x 478 x 3 = 135316596492
Therefore, the lowest common multiple of 693,721,661,956,594 is 135316596492.
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 721 x 661 x 956 x 594 = 187548802737912
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
721 : 1, 7, 103, 721
661 : 1, 661
956 : 1, 2, 4, 239, 478, 956
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,721,661,956,594, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
721:7x 103
661:661
956:2x 2x 239
594:2x 3x 3x 3x 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 7x 11 = 1386
Therefore, the value for common factors is 1386.
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 = 187548802737912/(1x1386)
LCM = 187548802737912/1386
LCM = 135316596492
Thus, we can understand that the LCM of 693,721,661,956,594 is 135316596492.
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FAQs on LCM of 693, 721, 661, 956, 594
1. What is the LCM of 693, 721, 661, 956, 594?
Answer: LCM of 693, 721, 661, 956, 594 is 135316596492.
2. How to calculate the LCM of 693, 721, 661, 956, 594?
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, 721, 661, 956, 594.
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}.