LCM of 959, 807, 942, 266, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 807, 942, 266, 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 959, 807, 942, 266, 273. So, keep reading to learn more.
Given numbers are 959,807,942,266,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,807,942,266,273 is 60023144454.
Find LCM of 959,807,942,266,273 with Prime Factorization
| 2 | 959, 807, 942, 266, 273 |
| 3 | 959, 807, 471, 133, 273 |
| 7 | 959, 269, 157, 133, 91 |
| 137, 269, 157, 19, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 137 x 269 x 157 x 19 x 13 = 60023144454
Therefore, the lowest common multiple of 959,807,942,266,273 is 60023144454.
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.
959 x 807 x 942 x 266 x 273 = 52940413408428
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.
959 : 1, 7, 137, 959
807 : 1, 3, 269, 807
942 : 1, 2, 3, 6, 157, 314, 471, 942
266 : 1, 2, 7, 14, 19, 38, 133, 266
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 959,807,942,266,273, is 1.
Now, the common factors can be found like this.
959:7x 137
807:3x 269
942:2x 3x 157
266:2x 7x 19
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.
2x 3x 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 52940413408428/(1x882)
LCM = 52940413408428/882
LCM = 60023144454
Thus, we can understand that the LCM of 959,807,942,266,273 is 60023144454.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 959, 807, 942, 266, 273
1. What is the LCM of 959, 807, 942, 266, 273?
Answer: LCM of 959, 807, 942, 266, 273 is 60023144454.
2. How to calculate the LCM of 959, 807, 942, 266, 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 959, 807, 942, 266, 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}.