LCM of 690, 860, 338, 735, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 860, 338, 735, 543 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, 860, 338, 735, 543. So, keep reading to learn more.
Given numbers are 690,860,338,735,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,860,338,735,543 is 88942411740.
Find LCM of 690,860,338,735,543 with Prime Factorization
| 2 | 690, 860, 338, 735, 543 |
| 3 | 345, 430, 169, 735, 543 |
| 5 | 115, 430, 169, 245, 181 |
| 23, 86, 169, 49, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 86 x 169 x 49 x 181 = 88942411740
Therefore, the lowest common multiple of 690,860,338,735,543 is 88942411740.
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 860 x 338 x 735 x 543 = 80048170566000
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
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
338 : 1, 2, 13, 26, 169, 338
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,860,338,735,543, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
860:2x 2x 5x 43
338:2x 13x 13
735:3x 5x 7x 7
543:3x 181
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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 80048170566000/(1x900)
LCM = 80048170566000/900
LCM = 88942411740
Thus, we can understand that the LCM of 690,860,338,735,543 is 88942411740.
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FAQs on LCM of 690, 860, 338, 735, 543
1. What is the LCM of 690, 860, 338, 735, 543?
Answer: LCM of 690, 860, 338, 735, 543 is 88942411740.
2. How to calculate the LCM of 690, 860, 338, 735, 543?
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, 860, 338, 735, 543.
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}.