LCM of 266, 722, 994, 722, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 722, 994, 722, 298 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 266, 722, 994, 722, 298. So, keep reading to learn more.
Given numbers are 266,722,994,722,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,722,994,722,298 is 53466266.
Find LCM of 266,722,994,722,298 with Prime Factorization
| 2 | 266, 722, 994, 722, 298 |
| 7 | 133, 361, 497, 361, 149 |
| 19 | 19, 361, 71, 361, 149 |
| 19 | 1, 19, 71, 19, 149 |
| 1, 1, 71, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 19 x 1 x 1 x 71 x 1 x 149 = 53466266
Therefore, the lowest common multiple of 266,722,994,722,298 is 53466266.
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.
266 x 722 x 994 x 722 x 298 = 41073213271328
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
722 : 1, 2, 19, 38, 361, 722
994 : 1, 2, 7, 14, 71, 142, 497, 994
722 : 1, 2, 19, 38, 361, 722
298 : 1, 2, 149, 298
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,722,994,722,298, is 2.
Now, the common factors can be found like this.
266:2x 7x 19
722:2x 19x 19
994:2x 7x 71
722:2x 19x 19
298:2x 149
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 2x 7x 19x 19x 19 = 384104
Therefore, the value for common factors is 384104.
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 = 41073213271328/(2x384104)
LCM = 41073213271328/768208
LCM = 53466266
Thus, we can understand that the LCM of 266,722,994,722,298 is 53466266.
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FAQs on LCM of 266, 722, 994, 722, 298
1. What is the LCM of 266, 722, 994, 722, 298?
Answer: LCM of 266, 722, 994, 722, 298 is 53466266.
2. How to calculate the LCM of 266, 722, 994, 722, 298?
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 266, 722, 994, 722, 298.
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}.