LCM of 437, 359, 298, 414, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 359, 298, 414, 327 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, 359, 298, 414, 327. So, keep reading to learn more.
Given numbers are 437,359,298,414,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,359,298,414,327 is 45862862454.
Find LCM of 437,359,298,414,327 with Prime Factorization
| 2 | 437, 359, 298, 414, 327 |
| 3 | 437, 359, 149, 207, 327 |
| 23 | 437, 359, 149, 69, 109 |
| 19, 359, 149, 3, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 19 x 359 x 149 x 3 x 109 = 45862862454
Therefore, the lowest common multiple of 437,359,298,414,327 is 45862862454.
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 359 x 298 x 414 x 327 = 6329075018652
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
359 : 1, 359
298 : 1, 2, 149, 298
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,359,298,414,327, is 1.
Now, the common factors can be found like this.
437:19x 23
359:359
298:2x 149
414:2x 3x 3x 23
327:3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 6329075018652/(1x138)
LCM = 6329075018652/138
LCM = 45862862454
Thus, we can understand that the LCM of 437,359,298,414,327 is 45862862454.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 359, 298, 414, 327
1. What is the LCM of 437, 359, 298, 414, 327?
Answer: LCM of 437, 359, 298, 414, 327 is 45862862454.
2. How to calculate the LCM of 437, 359, 298, 414, 327?
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, 359, 298, 414, 327.
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}.