LCM of 437, 460, 240, 567, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 460, 240, 567, 618 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, 240, 567, 618. So, keep reading to learn more.
Given numbers are 437,460,240,567,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,460,240,567,618 is 2041698960.
Find LCM of 437,460,240,567,618 with Prime Factorization
| 2 | 437, 460, 240, 567, 618 |
| 2 | 437, 230, 120, 567, 309 |
| 3 | 437, 115, 60, 567, 309 |
| 5 | 437, 115, 20, 189, 103 |
| 23 | 437, 23, 4, 189, 103 |
| 19, 1, 4, 189, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 19 x 1 x 4 x 189 x 103 = 2041698960
Therefore, the lowest common multiple of 437,460,240,567,618 is 2041698960.
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 240 x 567 x 618 = 16905267388800
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,460,240,567,618, is 1.
Now, the common factors can be found like this.
437:19x 23
460:2x 2x 5x 23
240:2x 2x 2x 2x 3x 5
567:3x 3x 3x 3x 7
618:2x 3x 103
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 3x 3x 5x 23 = 8280
Therefore, the value for common factors is 8280.
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 = 16905267388800/(1x8280)
LCM = 16905267388800/8280
LCM = 2041698960
Thus, we can understand that the LCM of 437,460,240,567,618 is 2041698960.
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FAQs on LCM of 437, 460, 240, 567, 618
1. What is the LCM of 437, 460, 240, 567, 618?
Answer: LCM of 437, 460, 240, 567, 618 is 2041698960.
2. How to calculate the LCM of 437, 460, 240, 567, 618?
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, 240, 567, 618.
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}.