LCM of 437, 460, 513, 298, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 460, 513, 298, 148 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 437, 460, 513, 298, 148. So, keep reading to learn more.
Given numbers are 437,460,513,298,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,460,513,298,148 is 1300957740.
Find LCM of 437,460,513,298,148 with Prime Factorization
| 2 | 437, 460, 513, 298, 148 |
| 2 | 437, 230, 513, 149, 74 |
| 19 | 437, 115, 513, 149, 37 |
| 23 | 23, 115, 27, 149, 37 |
| 1, 5, 27, 149, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 1 x 5 x 27 x 149 x 37 = 1300957740
Therefore, the lowest common multiple of 437,460,513,298,148 is 1300957740.
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.
437 x 460 x 513 x 298 x 148 = 4548148259040
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.
437 : 1, 19, 23, 437
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
513 : 1, 3, 9, 19, 27, 57, 171, 513
298 : 1, 2, 149, 298
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,460,513,298,148, is 1.
Now, the common factors can be found like this.
437:19x 23
460:2x 2x 5x 23
513:3x 3x 3x 19
298:2x 149
148:2x 2x 37
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 19x 23 = 3496
Therefore, the value for common factors is 3496.
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 = 4548148259040/(1x3496)
LCM = 4548148259040/3496
LCM = 1300957740
Thus, we can understand that the LCM of 437,460,513,298,148 is 1300957740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 460, 513, 298, 148
1. What is the LCM of 437, 460, 513, 298, 148?
Answer: LCM of 437, 460, 513, 298, 148 is 1300957740.
2. How to calculate the LCM of 437, 460, 513, 298, 148?
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 437, 460, 513, 298, 148.
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}.