LCM of 749, 420, 608, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 420, 608, 849 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 749, 420, 608, 849. So, keep reading to learn more.
Given numbers are 749,420,608,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,420,608,849 is 1933139040.
Find LCM of 749,420,608,849 with Prime Factorization
| 2 | 749, 420, 608, 849 |
| 2 | 749, 210, 304, 849 |
| 3 | 749, 105, 152, 849 |
| 7 | 749, 35, 152, 283 |
| 107, 5, 152, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 107 x 5 x 152 x 283 = 1933139040
Therefore, the lowest common multiple of 749,420,608,849 is 1933139040.
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.
749 x 420 x 608 x 849 = 162383679360
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.
749 : 1, 7, 107, 749
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,420,608,849, is 1.
Now, the common factors can be found like this.
749:7x 107
420:2x 2x 3x 5x 7
608:2x 2x 2x 2x 2x 19
849:3x 283
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 7 = 84
Therefore, the value for common factors is 84.
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 = 162383679360/(1x84)
LCM = 162383679360/84
LCM = 1933139040
Thus, we can understand that the LCM of 749,420,608,849 is 1933139040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 420, 608, 849
1. What is the LCM of 749, 420, 608, 849?
Answer: LCM of 749, 420, 608, 849 is 1933139040.
2. How to calculate the LCM of 749, 420, 608, 849?
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 749, 420, 608, 849.
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}.