LCM of 253, 470, 689, 600, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 470, 689, 600, 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 253, 470, 689, 600, 870. So, keep reading to learn more.
Given numbers are 253,470,689,600,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,470,689,600,870 is 142556442600.
Find LCM of 253,470,689,600,870 with Prime Factorization
| 2 | 253, 470, 689, 600, 870 |
| 3 | 253, 235, 689, 300, 435 |
| 5 | 253, 235, 689, 100, 145 |
| 253, 47, 689, 20, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 253 x 47 x 689 x 20 x 29 = 142556442600
Therefore, the lowest common multiple of 253,470,689,600,870 is 142556442600.
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 470 x 689 x 600 x 870 = 42766932780000
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
470 : 1, 2, 5, 10, 47, 94, 235, 470
689 : 1, 13, 53, 689
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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 253,470,689,600,870, is 1.
Now, the common factors can be found like this.
253:11x 23
470:2x 5x 47
689:13x 53
600:2x 2x 2x 3x 5x 5
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.
2x 2x 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 42766932780000/(1x300)
LCM = 42766932780000/300
LCM = 142556442600
Thus, we can understand that the LCM of 253,470,689,600,870 is 142556442600.
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FAQs on LCM of 253, 470, 689, 600, 870
1. What is the LCM of 253, 470, 689, 600, 870?
Answer: LCM of 253, 470, 689, 600, 870 is 142556442600.
2. How to calculate the LCM of 253, 470, 689, 600, 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 253, 470, 689, 600, 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}.