LCM of 378, 676, 714, 657, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 676, 714, 657, 715 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 378, 676, 714, 657, 715. So, keep reading to learn more.
Given numbers are 378,676,714,657,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,676,714,657,715 is 8720531820.
Find LCM of 378,676,714,657,715 with Prime Factorization
| 2 | 378, 676, 714, 657, 715 |
| 3 | 189, 338, 357, 657, 715 |
| 3 | 63, 338, 119, 219, 715 |
| 7 | 21, 338, 119, 73, 715 |
| 13 | 3, 338, 17, 73, 715 |
| 3, 26, 17, 73, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 3 x 26 x 17 x 73 x 55 = 8720531820
Therefore, the lowest common multiple of 378,676,714,657,715 is 8720531820.
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.
378 x 676 x 714 x 657 x 715 = 85705386726960
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
657 : 1, 3, 9, 73, 219, 657
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,676,714,657,715, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
676:2x 2x 13x 13
714:2x 3x 7x 17
657:3x 3x 73
715:5x 11x 13
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 3x 3x 3x 7x 13 = 9828
Therefore, the value for common factors is 9828.
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 = 85705386726960/(1x9828)
LCM = 85705386726960/9828
LCM = 8720531820
Thus, we can understand that the LCM of 378,676,714,657,715 is 8720531820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 378, 676, 714, 657, 715
1. What is the LCM of 378, 676, 714, 657, 715?
Answer: LCM of 378, 676, 714, 657, 715 is 8720531820.
2. How to calculate the LCM of 378, 676, 714, 657, 715?
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 378, 676, 714, 657, 715.
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}.