LCM of 750, 208, 986, 222, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 208, 986, 222, 296 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 750, 208, 986, 222, 296. So, keep reading to learn more.
Given numbers are 750,208,986,222,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,208,986,222,296 is 1422798000.
Find LCM of 750,208,986,222,296 with Prime Factorization
| 2 | 750, 208, 986, 222, 296 |
| 2 | 375, 104, 493, 111, 148 |
| 2 | 375, 52, 493, 111, 74 |
| 3 | 375, 26, 493, 111, 37 |
| 37 | 125, 26, 493, 37, 37 |
| 125, 26, 493, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 125 x 26 x 493 x 1 x 1 = 1422798000
Therefore, the lowest common multiple of 750,208,986,222,296 is 1422798000.
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.
750 x 208 x 986 x 222 x 296 = 10107556992000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
986 : 1, 2, 17, 29, 34, 58, 493, 986
222 : 1, 2, 3, 6, 37, 74, 111, 222
296 : 1, 2, 4, 8, 37, 74, 148, 296
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,208,986,222,296, is 2.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
208:2x 2x 2x 2x 13
986:2x 17x 29
222:2x 3x 37
296:2x 2x 2x 37
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 2x 2x 3x 37 = 3552
Therefore, the value for common factors is 3552.
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 = 10107556992000/(2x3552)
LCM = 10107556992000/7104
LCM = 1422798000
Thus, we can understand that the LCM of 750,208,986,222,296 is 1422798000.
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FAQs on LCM of 750, 208, 986, 222, 296
1. What is the LCM of 750, 208, 986, 222, 296?
Answer: LCM of 750, 208, 986, 222, 296 is 1422798000.
2. How to calculate the LCM of 750, 208, 986, 222, 296?
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 750, 208, 986, 222, 296.
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}.