LCM of 654, 856, 357, 360, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 856, 357, 360, 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 654, 856, 357, 360, 618. So, keep reading to learn more.
Given numbers are 654,856,357,360,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,856,357,360,618 is 51463220760.
Find LCM of 654,856,357,360,618 with Prime Factorization
| 2 | 654, 856, 357, 360, 618 |
| 2 | 327, 428, 357, 180, 309 |
| 2 | 327, 214, 357, 90, 309 |
| 3 | 327, 107, 357, 45, 309 |
| 109, 107, 119, 15, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 109 x 107 x 119 x 15 x 103 = 51463220760
Therefore, the lowest common multiple of 654,856,357,360,618 is 51463220760.
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.
654 x 856 x 357 x 360 x 618 = 44464222736640
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
856 : 1, 2, 4, 8, 107, 214, 428, 856
357 : 1, 3, 7, 17, 21, 51, 119, 357
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 654,856,357,360,618, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
856:2x 2x 2x 107
357:3x 7x 17
360:2x 2x 2x 3x 3x 5
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 44464222736640/(1x864)
LCM = 44464222736640/864
LCM = 51463220760
Thus, we can understand that the LCM of 654,856,357,360,618 is 51463220760.
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FAQs on LCM of 654, 856, 357, 360, 618
1. What is the LCM of 654, 856, 357, 360, 618?
Answer: LCM of 654, 856, 357, 360, 618 is 51463220760.
2. How to calculate the LCM of 654, 856, 357, 360, 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 654, 856, 357, 360, 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}.