LCM of 701, 306, 993, 153, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 306, 993, 153, 693 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 701, 306, 993, 153, 693. So, keep reading to learn more.
Given numbers are 701,306,993,153,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,306,993,153,693 is 5467114422.
Find LCM of 701,306,993,153,693 with Prime Factorization
| 3 | 701, 306, 993, 153, 693 |
| 3 | 701, 102, 331, 51, 231 |
| 17 | 701, 34, 331, 17, 77 |
| 701, 2, 331, 1, 77 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 701 x 2 x 331 x 1 x 77 = 5467114422
Therefore, the lowest common multiple of 701,306,993,153,693 is 5467114422.
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.
701 x 306 x 993 x 153 x 693 = 22584649677282
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.
701 : 1, 701
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
993 : 1, 3, 331, 993
153 : 1, 3, 9, 17, 51, 153
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,306,993,153,693, is 1.
Now, the common factors can be found like this.
701:701
306:2x 3x 3x 17
993:3x 331
153:3x 3x 17
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 17 = 4131
Therefore, the value for common factors is 4131.
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 = 22584649677282/(1x4131)
LCM = 22584649677282/4131
LCM = 5467114422
Thus, we can understand that the LCM of 701,306,993,153,693 is 5467114422.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 701, 306, 993, 153, 693
1. What is the LCM of 701, 306, 993, 153, 693?
Answer: LCM of 701, 306, 993, 153, 693 is 5467114422.
2. How to calculate the LCM of 701, 306, 993, 153, 693?
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 701, 306, 993, 153, 693.
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}.