LCM of 734, 734, 667, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 734, 734, 667, 290 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 734, 734, 667, 290. So, keep reading to learn more.
Given numbers are 734,734,667,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 734,734,667,290 is 2447890.
Find LCM of 734,734,667,290 with Prime Factorization
| 2 | 734, 734, 667, 290 |
| 29 | 367, 367, 667, 145 |
| 367 | 367, 367, 23, 5 |
| 1, 1, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 367 x 1 x 1 x 23 x 5 = 2447890
Therefore, the lowest common multiple of 734,734,667,290 is 2447890.
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.
734 x 734 x 667 x 290 = 104211573080
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.
734 : 1, 2, 367, 734
734 : 1, 2, 367, 734
667 : 1, 23, 29, 667
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,734,667,290, is 1.
Now, the common factors can be found like this.
734:2x 367
734:2x 367
667:23x 29
290:2x 5x 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 29x 367 = 42572
Therefore, the value for common factors is 42572.
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 = 104211573080/(1x42572)
LCM = 104211573080/42572
LCM = 2447890
Thus, we can understand that the LCM of 734,734,667,290 is 2447890.
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FAQs on LCM of 734, 734, 667, 290
1. What is the LCM of 734, 734, 667, 290?
Answer: LCM of 734, 734, 667, 290 is 2447890.
2. How to calculate the LCM of 734, 734, 667, 290?
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 734, 734, 667, 290.
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}.