LCM of 989, 694, 642, 347
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 694, 642, 347 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 989, 694, 642, 347. So, keep reading to learn more.
Given numbers are 989,694,642,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,694,642,347 is 220323486.
Find LCM of 989,694,642,347 with Prime Factorization
| 2 | 989, 694, 642, 347 |
| 347 | 989, 347, 321, 347 |
| 989, 1, 321, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 347 x 989 x 1 x 321 x 1 = 220323486
Therefore, the lowest common multiple of 989,694,642,347 is 220323486.
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.
989 x 694 x 642 x 347 = 152904499284
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.
989 : 1, 23, 43, 989
694 : 1, 2, 347, 694
642 : 1, 2, 3, 6, 107, 214, 321, 642
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,694,642,347, is 1.
Now, the common factors can be found like this.
989:23x 43
694:2x 347
642:2x 3x 107
347:347
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 347 = 694
Therefore, the value for common factors is 694.
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 = 152904499284/(1x694)
LCM = 152904499284/694
LCM = 220323486
Thus, we can understand that the LCM of 989,694,642,347 is 220323486.
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FAQs on LCM of 989, 694, 642, 347
1. What is the LCM of 989, 694, 642, 347?
Answer: LCM of 989, 694, 642, 347 is 220323486.
2. How to calculate the LCM of 989, 694, 642, 347?
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 989, 694, 642, 347.
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}.