LCM of 368, 837, 312, 483, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 837, 312, 483, 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 368, 837, 312, 483, 618. So, keep reading to learn more.
Given numbers are 368,837,312,483,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,837,312,483,618 is 2887033968.
Find LCM of 368,837,312,483,618 with Prime Factorization
| 2 | 368, 837, 312, 483, 618 |
| 2 | 184, 837, 156, 483, 309 |
| 2 | 92, 837, 78, 483, 309 |
| 3 | 46, 837, 39, 483, 309 |
| 23 | 46, 279, 13, 161, 103 |
| 2, 279, 13, 7, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 2 x 279 x 13 x 7 x 103 = 2887033968
Therefore, the lowest common multiple of 368,837,312,483,618 is 2887033968.
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.
368 x 837 x 312 x 483 x 618 = 28685569506048
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
837 : 1, 3, 9, 27, 31, 93, 279, 837
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
483 : 1, 3, 7, 21, 23, 69, 161, 483
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 368,837,312,483,618, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
837:3x 3x 3x 31
312:2x 2x 2x 3x 13
483:3x 7x 23
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 3x 3x 3x 23 = 9936
Therefore, the value for common factors is 9936.
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 = 28685569506048/(1x9936)
LCM = 28685569506048/9936
LCM = 2887033968
Thus, we can understand that the LCM of 368,837,312,483,618 is 2887033968.
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FAQs on LCM of 368, 837, 312, 483, 618
1. What is the LCM of 368, 837, 312, 483, 618?
Answer: LCM of 368, 837, 312, 483, 618 is 2887033968.
2. How to calculate the LCM of 368, 837, 312, 483, 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 368, 837, 312, 483, 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}.