LCM of 986, 745, 930, 415, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 745, 930, 415, 298 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 986, 745, 930, 415, 298. So, keep reading to learn more.
Given numbers are 986,745,930,415,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,745,930,415,298 is 5670145830.
Find LCM of 986,745,930,415,298 with Prime Factorization
| 2 | 986, 745, 930, 415, 298 |
| 5 | 493, 745, 465, 415, 149 |
| 149 | 493, 149, 93, 83, 149 |
| 493, 1, 93, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 149 x 493 x 1 x 93 x 83 x 1 = 5670145830
Therefore, the lowest common multiple of 986,745,930,415,298 is 5670145830.
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.
986 x 745 x 930 x 415 x 298 = 84485172867000
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
745 : 1, 5, 149, 745
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
415 : 1, 5, 83, 415
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,745,930,415,298, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
745:5x 149
930:2x 3x 5x 31
415:5x 83
298:2x 149
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 5x 5x 149 = 14900
Therefore, the value for common factors is 14900.
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 = 84485172867000/(1x14900)
LCM = 84485172867000/14900
LCM = 5670145830
Thus, we can understand that the LCM of 986,745,930,415,298 is 5670145830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 986, 745, 930, 415, 298
1. What is the LCM of 986, 745, 930, 415, 298?
Answer: LCM of 986, 745, 930, 415, 298 is 5670145830.
2. How to calculate the LCM of 986, 745, 930, 415, 298?
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 986, 745, 930, 415, 298.
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}.