LCM of 744, 667, 174, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 667, 174, 986 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 744, 667, 174, 986. So, keep reading to learn more.
Given numbers are 744,667,174,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,667,174,986 is 8436216.
Find LCM of 744,667,174,986 with Prime Factorization
| 2 | 744, 667, 174, 986 |
| 3 | 372, 667, 87, 493 |
| 29 | 124, 667, 29, 493 |
| 124, 23, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 124 x 23 x 1 x 17 = 8436216
Therefore, the lowest common multiple of 744,667,174,986 is 8436216.
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.
744 x 667 x 174 x 986 = 85138291872
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
667 : 1, 23, 29, 667
174 : 1, 2, 3, 6, 29, 58, 87, 174
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,667,174,986, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
667:23x 29
174:2x 3x 29
986:2x 17x 29
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 3x 29x 29 = 10092
Therefore, the value for common factors is 10092.
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 = 85138291872/(1x10092)
LCM = 85138291872/10092
LCM = 8436216
Thus, we can understand that the LCM of 744,667,174,986 is 8436216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 744, 667, 174, 986
1. What is the LCM of 744, 667, 174, 986?
Answer: LCM of 744, 667, 174, 986 is 8436216.
2. How to calculate the LCM of 744, 667, 174, 986?
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 744, 667, 174, 986.
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}.