LCM of 407, 153, 829, 918, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 153, 829, 918, 697 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 407, 153, 829, 918, 697. So, keep reading to learn more.
Given numbers are 407,153,829,918,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,153,829,918,697 is 12699174114.
Find LCM of 407,153,829,918,697 with Prime Factorization
| 3 | 407, 153, 829, 918, 697 |
| 3 | 407, 51, 829, 306, 697 |
| 17 | 407, 17, 829, 102, 697 |
| 407, 1, 829, 6, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 407 x 1 x 829 x 6 x 41 = 12699174114
Therefore, the lowest common multiple of 407,153,829,918,697 is 12699174114.
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.
407 x 153 x 829 x 918 x 697 = 33030551870514
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.
407 : 1, 11, 37, 407
153 : 1, 3, 9, 17, 51, 153
829 : 1, 829
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,153,829,918,697, is 1.
Now, the common factors can be found like this.
407:11x 37
153:3x 3x 17
829:829
918:2x 3x 3x 3x 17
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17x 17 = 2601
Therefore, the value for common factors is 2601.
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 = 33030551870514/(1x2601)
LCM = 33030551870514/2601
LCM = 12699174114
Thus, we can understand that the LCM of 407,153,829,918,697 is 12699174114.
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FAQs on LCM of 407, 153, 829, 918, 697
1. What is the LCM of 407, 153, 829, 918, 697?
Answer: LCM of 407, 153, 829, 918, 697 is 12699174114.
2. How to calculate the LCM of 407, 153, 829, 918, 697?
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 407, 153, 829, 918, 697.
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}.