LCM of 755, 746, 149, 407, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 746, 149, 407, 305 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 755, 746, 149, 407, 305. So, keep reading to learn more.
Given numbers are 755,746,149,407,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,746,149,407,305 is 2083513370290.
Find LCM of 755,746,149,407,305 with Prime Factorization
| 5 | 755, 746, 149, 407, 305 |
| 151, 746, 149, 407, 61 |
Multiply the prime numbers at the bottom and the left side.
5 x 151 x 746 x 149 x 407 x 61 = 2083513370290
Therefore, the lowest common multiple of 755,746,149,407,305 is 2083513370290.
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.
755 x 746 x 149 x 407 x 305 = 10417566851450
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.
755 : 1, 5, 151, 755
746 : 1, 2, 373, 746
149 : 1, 149
407 : 1, 11, 37, 407
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,746,149,407,305, is 1.
Now, the common factors can be found like this.
755:5x 151
746:2x 373
149:149
407:11x 37
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 10417566851450/(1x5)
LCM = 10417566851450/5
LCM = 2083513370290
Thus, we can understand that the LCM of 755,746,149,407,305 is 2083513370290.
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FAQs on LCM of 755, 746, 149, 407, 305
1. What is the LCM of 755, 746, 149, 407, 305?
Answer: LCM of 755, 746, 149, 407, 305 is 2083513370290.
2. How to calculate the LCM of 755, 746, 149, 407, 305?
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 755, 746, 149, 407, 305.
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}.