LCM of 989, 154, 407, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 154, 407, 514 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, 154, 407, 514. So, keep reading to learn more.
Given numbers are 989,154,407,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,154,407,514 is 1448277754.
Find LCM of 989,154,407,514 with Prime Factorization
| 2 | 989, 154, 407, 514 |
| 11 | 989, 77, 407, 257 |
| 989, 7, 37, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 989 x 7 x 37 x 257 = 1448277754
Therefore, the lowest common multiple of 989,154,407,514 is 1448277754.
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 154 x 407 x 514 = 31862110588
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
154 : 1, 2, 7, 11, 14, 22, 77, 154
407 : 1, 11, 37, 407
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,154,407,514, is 1.
Now, the common factors can be found like this.
989:23x 43
154:2x 7x 11
407:11x 37
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 31862110588/(1x22)
LCM = 31862110588/22
LCM = 1448277754
Thus, we can understand that the LCM of 989,154,407,514 is 1448277754.
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FAQs on LCM of 989, 154, 407, 514
1. What is the LCM of 989, 154, 407, 514?
Answer: LCM of 989, 154, 407, 514 is 1448277754.
2. How to calculate the LCM of 989, 154, 407, 514?
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, 154, 407, 514.
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}.