LCM of 279, 373, 263, 722, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 373, 263, 722, 912 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 279, 373, 263, 722, 912. So, keep reading to learn more.
Given numbers are 279,373,263,722,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,373,263,722,912 is 158086930896.
Find LCM of 279,373,263,722,912 with Prime Factorization
| 2 | 279, 373, 263, 722, 912 |
| 3 | 279, 373, 263, 361, 456 |
| 19 | 93, 373, 263, 361, 152 |
| 93, 373, 263, 19, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 93 x 373 x 263 x 19 x 8 = 158086930896
Therefore, the lowest common multiple of 279,373,263,722,912 is 158086930896.
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.
279 x 373 x 263 x 722 x 912 = 18021910122144
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.
279 : 1, 3, 9, 31, 93, 279
373 : 1, 373
263 : 1, 263
722 : 1, 2, 19, 38, 361, 722
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,373,263,722,912, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
373:373
263:263
722:2x 19x 19
912:2x 2x 2x 2x 3x 19
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 19 = 114
Therefore, the value for common factors is 114.
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 = 18021910122144/(1x114)
LCM = 18021910122144/114
LCM = 158086930896
Thus, we can understand that the LCM of 279,373,263,722,912 is 158086930896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 279, 373, 263, 722, 912
1. What is the LCM of 279, 373, 263, 722, 912?
Answer: LCM of 279, 373, 263, 722, 912 is 158086930896.
2. How to calculate the LCM of 279, 373, 263, 722, 912?
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 279, 373, 263, 722, 912.
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}.