LCM of 672, 628, 690, 759, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 628, 690, 759, 765 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 672, 628, 690, 759, 765. So, keep reading to learn more.
Given numbers are 672,628,690,759,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,628,690,759,765 is 6806590560.
Find LCM of 672,628,690,759,765 with Prime Factorization
| 2 | 672, 628, 690, 759, 765 |
| 2 | 336, 314, 345, 759, 765 |
| 3 | 168, 157, 345, 759, 765 |
| 5 | 56, 157, 115, 253, 255 |
| 23 | 56, 157, 23, 253, 51 |
| 56, 157, 1, 11, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 56 x 157 x 1 x 11 x 51 = 6806590560
Therefore, the lowest common multiple of 672,628,690,759,765 is 6806590560.
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.
672 x 628 x 690 x 759 x 765 = 169075709510400
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.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
628 : 1, 2, 4, 157, 314, 628
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
759 : 1, 3, 11, 23, 33, 69, 253, 759
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,628,690,759,765, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
628:2x 2x 157
690:2x 3x 5x 23
759:3x 11x 23
765:3x 3x 5x 17
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 3x 5x 23 = 24840
Therefore, the value for common factors is 24840.
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 = 169075709510400/(1x24840)
LCM = 169075709510400/24840
LCM = 6806590560
Thus, we can understand that the LCM of 672,628,690,759,765 is 6806590560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 672, 628, 690, 759, 765
1. What is the LCM of 672, 628, 690, 759, 765?
Answer: LCM of 672, 628, 690, 759, 765 is 6806590560.
2. How to calculate the LCM of 672, 628, 690, 759, 765?
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 672, 628, 690, 759, 765.
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}.