LCM of 870, 735, 189, 901, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 870, 735, 189, 901, 273 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 870, 735, 189, 901, 273. So, keep reading to learn more.
Given numbers are 870,735,189,901,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 870,735,189,901,273 is 4493926710.
Find LCM of 870,735,189,901,273 with Prime Factorization
| 3 | 870, 735, 189, 901, 273 |
| 5 | 290, 245, 63, 901, 91 |
| 7 | 58, 49, 63, 901, 91 |
| 58, 7, 9, 901, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 58 x 7 x 9 x 901 x 13 = 4493926710
Therefore, the lowest common multiple of 870,735,189,901,273 is 4493926710.
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.
870 x 735 x 189 x 901 x 273 = 29727325186650
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.
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
189 : 1, 3, 7, 9, 21, 27, 63, 189
901 : 1, 17, 53, 901
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,735,189,901,273, is 1.
Now, the common factors can be found like this.
870:2x 3x 5x 29
735:3x 5x 7x 7
189:3x 3x 3x 7
901:17x 53
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 7x 7 = 6615
Therefore, the value for common factors is 6615.
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 = 29727325186650/(1x6615)
LCM = 29727325186650/6615
LCM = 4493926710
Thus, we can understand that the LCM of 870,735,189,901,273 is 4493926710.
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FAQs on LCM of 870, 735, 189, 901, 273
1. What is the LCM of 870, 735, 189, 901, 273?
Answer: LCM of 870, 735, 189, 901, 273 is 4493926710.
2. How to calculate the LCM of 870, 735, 189, 901, 273?
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 870, 735, 189, 901, 273.
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}.