LCM of 749, 271, 847, 374, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 271, 847, 374, 574 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, 271, 847, 374, 574. So, keep reading to learn more.
Given numbers are 749,271,847,374,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,271,847,374,574 is 34237279846.
Find LCM of 749,271,847,374,574 with Prime Factorization
| 2 | 749, 271, 847, 374, 574 |
| 7 | 749, 271, 847, 187, 287 |
| 11 | 107, 271, 121, 187, 41 |
| 107, 271, 11, 17, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 107 x 271 x 11 x 17 x 41 = 34237279846
Therefore, the lowest common multiple of 749,271,847,374,574 is 34237279846.
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 271 x 847 x 374 x 574 = 36907787673988
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
271 : 1, 271
847 : 1, 7, 11, 77, 121, 847
374 : 1, 2, 11, 17, 22, 34, 187, 374
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,271,847,374,574, is 1.
Now, the common factors can be found like this.
749:7x 107
271:271
847:7x 11x 11
374:2x 11x 17
574:2x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 11 = 1078
Therefore, the value for common factors is 1078.
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 = 36907787673988/(1x1078)
LCM = 36907787673988/1078
LCM = 34237279846
Thus, we can understand that the LCM of 749,271,847,374,574 is 34237279846.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 271, 847, 374, 574
1. What is the LCM of 749, 271, 847, 374, 574?
Answer: LCM of 749, 271, 847, 374, 574 is 34237279846.
2. How to calculate the LCM of 749, 271, 847, 374, 574?
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, 271, 847, 374, 574.
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}.