LCM of 253, 260, 848, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 260, 848, 689 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 253, 260, 848, 689. So, keep reading to learn more.
Given numbers are 253,260,848,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,260,848,689 is 13945360.
Find LCM of 253,260,848,689 with Prime Factorization
| 2 | 253, 260, 848, 689 |
| 2 | 253, 130, 424, 689 |
| 13 | 253, 65, 212, 689 |
| 53 | 253, 5, 212, 53 |
| 253, 5, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 53 x 253 x 5 x 4 x 1 = 13945360
Therefore, the lowest common multiple of 253,260,848,689 is 13945360.
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.
253 x 260 x 848 x 689 = 38433412160
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.
253 : 1, 11, 23, 253
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,260,848,689, is 1.
Now, the common factors can be found like this.
253:11x 23
260:2x 2x 5x 13
848:2x 2x 2x 2x 53
689:13x 53
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 13x 53 = 2756
Therefore, the value for common factors is 2756.
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 = 38433412160/(1x2756)
LCM = 38433412160/2756
LCM = 13945360
Thus, we can understand that the LCM of 253,260,848,689 is 13945360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 260, 848, 689
1. What is the LCM of 253, 260, 848, 689?
Answer: LCM of 253, 260, 848, 689 is 13945360.
2. How to calculate the LCM of 253, 260, 848, 689?
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 253, 260, 848, 689.
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}.