LCM of 692, 935, 559, 817, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 935, 559, 817, 532 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 692, 935, 559, 817, 532. So, keep reading to learn more.
Given numbers are 692,935,559,817,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,935,559,817,532 is 48103995940.
Find LCM of 692,935,559,817,532 with Prime Factorization
| 2 | 692, 935, 559, 817, 532 |
| 2 | 346, 935, 559, 817, 266 |
| 19 | 173, 935, 559, 817, 133 |
| 43 | 173, 935, 559, 43, 7 |
| 173, 935, 13, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 43 x 173 x 935 x 13 x 1 x 7 = 48103995940
Therefore, the lowest common multiple of 692,935,559,817,532 is 48103995940.
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.
692 x 935 x 559 x 817 x 532 = 157203858731920
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.
692 : 1, 2, 4, 173, 346, 692
935 : 1, 5, 11, 17, 55, 85, 187, 935
559 : 1, 13, 43, 559
817 : 1, 19, 43, 817
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,935,559,817,532, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
935:5x 11x 17
559:13x 43
817:19x 43
532:2x 2x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 19x 43 = 3268
Therefore, the value for common factors is 3268.
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 = 157203858731920/(1x3268)
LCM = 157203858731920/3268
LCM = 48103995940
Thus, we can understand that the LCM of 692,935,559,817,532 is 48103995940.
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FAQs on LCM of 692, 935, 559, 817, 532
1. What is the LCM of 692, 935, 559, 817, 532?
Answer: LCM of 692, 935, 559, 817, 532 is 48103995940.
2. How to calculate the LCM of 692, 935, 559, 817, 532?
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 692, 935, 559, 817, 532.
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}.