LCM of 702, 678, 253, 690, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 678, 253, 690, 806 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 702, 678, 253, 690, 806. So, keep reading to learn more.
Given numbers are 702,678,253,690,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,678,253,690,806 is 3110769090.
Find LCM of 702,678,253,690,806 with Prime Factorization
| 2 | 702, 678, 253, 690, 806 |
| 3 | 351, 339, 253, 345, 403 |
| 13 | 117, 113, 253, 115, 403 |
| 23 | 9, 113, 253, 115, 31 |
| 9, 113, 11, 5, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 9 x 113 x 11 x 5 x 31 = 3110769090
Therefore, the lowest common multiple of 702,678,253,690,806 is 3110769090.
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.
702 x 678 x 253 x 690 x 806 = 66968636969520
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
678 : 1, 2, 3, 6, 113, 226, 339, 678
253 : 1, 11, 23, 253
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,678,253,690,806, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
678:2x 3x 113
253:11x 23
690:2x 3x 5x 23
806:2x 13x 31
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 3x 3x 13x 23 = 21528
Therefore, the value for common factors is 21528.
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 = 66968636969520/(1x21528)
LCM = 66968636969520/21528
LCM = 3110769090
Thus, we can understand that the LCM of 702,678,253,690,806 is 3110769090.
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FAQs on LCM of 702, 678, 253, 690, 806
1. What is the LCM of 702, 678, 253, 690, 806?
Answer: LCM of 702, 678, 253, 690, 806 is 3110769090.
2. How to calculate the LCM of 702, 678, 253, 690, 806?
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 702, 678, 253, 690, 806.
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}.