LCM of 877, 216, 132, 636, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 877, 216, 132, 636, 318 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 877, 216, 132, 636, 318. So, keep reading to learn more.
Given numbers are 877,216,132,636,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 877,216,132,636,318 is 110438856.
Find LCM of 877,216,132,636,318 with Prime Factorization
| 2 | 877, 216, 132, 636, 318 |
| 2 | 877, 108, 66, 318, 159 |
| 3 | 877, 54, 33, 159, 159 |
| 53 | 877, 18, 11, 53, 53 |
| 877, 18, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 877 x 18 x 11 x 1 x 1 = 110438856
Therefore, the lowest common multiple of 877,216,132,636,318 is 110438856.
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.
877 x 216 x 132 x 636 x 318 = 5057216093952
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.
877 : 1, 877
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,216,132,636,318, is 1.
Now, the common factors can be found like this.
877:877
216:2x 2x 2x 3x 3x 3
132:2x 2x 3x 11
636:2x 2x 3x 53
318:2x 3x 53
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 3x 53 = 45792
Therefore, the value for common factors is 45792.
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 = 5057216093952/(1x45792)
LCM = 5057216093952/45792
LCM = 110438856
Thus, we can understand that the LCM of 877,216,132,636,318 is 110438856.
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FAQs on LCM of 877, 216, 132, 636, 318
1. What is the LCM of 877, 216, 132, 636, 318?
Answer: LCM of 877, 216, 132, 636, 318 is 110438856.
2. How to calculate the LCM of 877, 216, 132, 636, 318?
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 877, 216, 132, 636, 318.
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}.