LCM of 653, 685, 865, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 685, 865, 870 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 653, 685, 865, 870. So, keep reading to learn more.
Given numbers are 653,685,865,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,685,865,870 is 13464775110.
Find LCM of 653,685,865,870 with Prime Factorization
| 5 | 653, 685, 865, 870 |
| 653, 137, 173, 174 |
Multiply the prime numbers at the bottom and the left side.
5 x 653 x 137 x 173 x 174 = 13464775110
Therefore, the lowest common multiple of 653,685,865,870 is 13464775110.
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.
653 x 685 x 865 x 870 = 336619377750
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.
653 : 1, 653
685 : 1, 5, 137, 685
865 : 1, 5, 173, 865
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,685,865,870, is 1.
Now, the common factors can be found like this.
653:653
685:5x 137
865:5x 173
870:2x 3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 336619377750/(1x25)
LCM = 336619377750/25
LCM = 13464775110
Thus, we can understand that the LCM of 653,685,865,870 is 13464775110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 653, 685, 865, 870
1. What is the LCM of 653, 685, 865, 870?
Answer: LCM of 653, 685, 865, 870 is 13464775110.
2. How to calculate the LCM of 653, 685, 865, 870?
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 653, 685, 865, 870.
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}.