LCM of 689, 901, 410, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 901, 410, 140 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 689, 901, 410, 140. So, keep reading to learn more.
Given numbers are 689,901,410,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,901,410,140 is 67232620.
Find LCM of 689,901,410,140 with Prime Factorization
| 2 | 689, 901, 410, 140 |
| 5 | 689, 901, 205, 70 |
| 53 | 689, 901, 41, 14 |
| 13, 17, 41, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 53 x 13 x 17 x 41 x 14 = 67232620
Therefore, the lowest common multiple of 689,901,410,140 is 67232620.
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.
689 x 901 x 410 x 140 = 35633288600
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.
689 : 1, 13, 53, 689
901 : 1, 17, 53, 901
410 : 1, 2, 5, 10, 41, 82, 205, 410
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,901,410,140, is 1.
Now, the common factors can be found like this.
689:13x 53
901:17x 53
410:2x 5x 41
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 53 = 530
Therefore, the value for common factors is 530.
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 = 35633288600/(1x530)
LCM = 35633288600/530
LCM = 67232620
Thus, we can understand that the LCM of 689,901,410,140 is 67232620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 901, 410, 140
1. What is the LCM of 689, 901, 410, 140?
Answer: LCM of 689, 901, 410, 140 is 67232620.
2. How to calculate the LCM of 689, 901, 410, 140?
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 689, 901, 410, 140.
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}.