LCM of 746, 300, 599, 901, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 300, 599, 901, 340 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 746, 300, 599, 901, 340. So, keep reading to learn more.
Given numbers are 746,300,599,901,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,300,599,901,340 is 60392318100.
Find LCM of 746,300,599,901,340 with Prime Factorization
| 2 | 746, 300, 599, 901, 340 |
| 2 | 373, 150, 599, 901, 170 |
| 5 | 373, 75, 599, 901, 85 |
| 17 | 373, 15, 599, 901, 17 |
| 373, 15, 599, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 373 x 15 x 599 x 53 x 1 = 60392318100
Therefore, the lowest common multiple of 746,300,599,901,340 is 60392318100.
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.
746 x 300 x 599 x 901 x 340 = 41066776308000
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.
746 : 1, 2, 373, 746
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
599 : 1, 599
901 : 1, 17, 53, 901
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,300,599,901,340, is 1.
Now, the common factors can be found like this.
746:2x 373
300:2x 2x 3x 5x 5
599:599
901:17x 53
340:2x 2x 5x 17
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 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 41066776308000/(1x680)
LCM = 41066776308000/680
LCM = 60392318100
Thus, we can understand that the LCM of 746,300,599,901,340 is 60392318100.
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FAQs on LCM of 746, 300, 599, 901, 340
1. What is the LCM of 746, 300, 599, 901, 340?
Answer: LCM of 746, 300, 599, 901, 340 is 60392318100.
2. How to calculate the LCM of 746, 300, 599, 901, 340?
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 746, 300, 599, 901, 340.
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}.