LCM of 901, 689, 174, 145, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 689, 174, 145, 567 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 901, 689, 174, 145, 567. So, keep reading to learn more.
Given numbers are 901,689,174,145,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,689,174,145,567 is 1925968590.
Find LCM of 901,689,174,145,567 with Prime Factorization
| 3 | 901, 689, 174, 145, 567 |
| 29 | 901, 689, 58, 145, 189 |
| 53 | 901, 689, 2, 5, 189 |
| 17, 13, 2, 5, 189 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 53 x 17 x 13 x 2 x 5 x 189 = 1925968590
Therefore, the lowest common multiple of 901,689,174,145,567 is 1925968590.
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.
901 x 689 x 174 x 145 x 567 = 8880641168490
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.
901 : 1, 17, 53, 901
689 : 1, 13, 53, 689
174 : 1, 2, 3, 6, 29, 58, 87, 174
145 : 1, 5, 29, 145
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,689,174,145,567, is 1.
Now, the common factors can be found like this.
901:17x 53
689:13x 53
174:2x 3x 29
145:5x 29
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 29x 53 = 4611
Therefore, the value for common factors is 4611.
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 = 8880641168490/(1x4611)
LCM = 8880641168490/4611
LCM = 1925968590
Thus, we can understand that the LCM of 901,689,174,145,567 is 1925968590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 901, 689, 174, 145, 567
1. What is the LCM of 901, 689, 174, 145, 567?
Answer: LCM of 901, 689, 174, 145, 567 is 1925968590.
2. How to calculate the LCM of 901, 689, 174, 145, 567?
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 901, 689, 174, 145, 567.
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}.