LCM of 640, 280, 229, 168, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 640, 280, 229, 168, 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 640, 280, 229, 168, 618. So, keep reading to learn more.
Given numbers are 640,280,229,168,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,280,229,168,618 is 317009280.
Find LCM of 640,280,229,168,618 with Prime Factorization
| 2 | 640, 280, 229, 168, 618 |
| 2 | 320, 140, 229, 84, 309 |
| 2 | 160, 70, 229, 42, 309 |
| 3 | 80, 35, 229, 21, 309 |
| 5 | 80, 35, 229, 7, 103 |
| 7 | 16, 7, 229, 7, 103 |
| 16, 1, 229, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 16 x 1 x 229 x 1 x 103 = 317009280
Therefore, the lowest common multiple of 640,280,229,168,618 is 317009280.
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.
640 x 280 x 229 x 168 x 618 = 4260604723200
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
229 : 1, 229
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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 640,280,229,168,618, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
280:2x 2x 2x 5x 7
229:229
168:2x 2x 2x 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 2x 2x 2x 2x 3x 5x 7 = 13440
Therefore, the value for common factors is 13440.
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 = 4260604723200/(1x13440)
LCM = 4260604723200/13440
LCM = 317009280
Thus, we can understand that the LCM of 640,280,229,168,618 is 317009280.
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FAQs on LCM of 640, 280, 229, 168, 618
1. What is the LCM of 640, 280, 229, 168, 618?
Answer: LCM of 640, 280, 229, 168, 618 is 317009280.
2. How to calculate the LCM of 640, 280, 229, 168, 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 640, 280, 229, 168, 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}.