LCM of 314, 214, 676, 988, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 214, 676, 988, 140 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 314, 214, 676, 988, 140. So, keep reading to learn more.
Given numbers are 314,214,676,988,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,214,676,988,140 is 7551822460.
Find LCM of 314,214,676,988,140 with Prime Factorization
| 2 | 314, 214, 676, 988, 140 |
| 2 | 157, 107, 338, 494, 70 |
| 13 | 157, 107, 169, 247, 35 |
| 157, 107, 13, 19, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 157 x 107 x 13 x 19 x 35 = 7551822460
Therefore, the lowest common multiple of 314,214,676,988,140 is 7551822460.
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.
314 x 214 x 676 x 988 x 140 = 6283116286720
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.
314 : 1, 2, 157, 314
214 : 1, 2, 107, 214
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,214,676,988,140, is 2.
Now, the common factors can be found like this.
314:2x 157
214:2x 107
676:2x 2x 13x 13
988:2x 2x 13x 19
140:2x 2x 5x 7
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 13 = 416
Therefore, the value for common factors is 416.
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 = 6283116286720/(2x416)
LCM = 6283116286720/832
LCM = 7551822460
Thus, we can understand that the LCM of 314,214,676,988,140 is 7551822460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 214, 676, 988, 140
1. What is the LCM of 314, 214, 676, 988, 140?
Answer: LCM of 314, 214, 676, 988, 140 is 7551822460.
2. How to calculate the LCM of 314, 214, 676, 988, 140?
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 314, 214, 676, 988, 140.
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}.