LCM of 318, 138, 989, 597, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 138, 989, 597, 645 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 318, 138, 989, 597, 645. So, keep reading to learn more.
Given numbers are 318,138,989,597,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,138,989,597,645 is 312929490.
Find LCM of 318,138,989,597,645 with Prime Factorization
| 2 | 318, 138, 989, 597, 645 |
| 3 | 159, 69, 989, 597, 645 |
| 23 | 53, 23, 989, 199, 215 |
| 43 | 53, 1, 43, 199, 215 |
| 53, 1, 1, 199, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 43 x 53 x 1 x 1 x 199 x 5 = 312929490
Therefore, the lowest common multiple of 318,138,989,597,645 is 312929490.
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.
318 x 138 x 989 x 597 x 645 = 16712312342940
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
138 : 1, 2, 3, 6, 23, 46, 69, 138
989 : 1, 23, 43, 989
597 : 1, 3, 199, 597
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,138,989,597,645, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
138:2x 3x 23
989:23x 43
597:3x 199
645:3x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 23x 43 = 53406
Therefore, the value for common factors is 53406.
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 = 16712312342940/(1x53406)
LCM = 16712312342940/53406
LCM = 312929490
Thus, we can understand that the LCM of 318,138,989,597,645 is 312929490.
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FAQs on LCM of 318, 138, 989, 597, 645
1. What is the LCM of 318, 138, 989, 597, 645?
Answer: LCM of 318, 138, 989, 597, 645 is 312929490.
2. How to calculate the LCM of 318, 138, 989, 597, 645?
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 318, 138, 989, 597, 645.
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}.