LCM of 672, 665, 568, 461, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 665, 568, 461, 802 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, 665, 568, 461, 802. So, keep reading to learn more.
Given numbers are 672,665,568,461,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,665,568,461,802 is 837908363040.
Find LCM of 672,665,568,461,802 with Prime Factorization
| 2 | 672, 665, 568, 461, 802 |
| 2 | 336, 665, 284, 461, 401 |
| 2 | 168, 665, 142, 461, 401 |
| 7 | 84, 665, 71, 461, 401 |
| 12, 95, 71, 461, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 12 x 95 x 71 x 461 x 401 = 837908363040
Therefore, the lowest common multiple of 672,665,568,461,802 is 837908363040.
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 665 x 568 x 461 x 802 = 93845736660480
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
665 : 1, 5, 7, 19, 35, 95, 133, 665
568 : 1, 2, 4, 8, 71, 142, 284, 568
461 : 1, 461
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,665,568,461,802, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
665:5x 7x 19
568:2x 2x 2x 71
461:461
802:2x 401
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 93845736660480/(1x112)
LCM = 93845736660480/112
LCM = 837908363040
Thus, we can understand that the LCM of 672,665,568,461,802 is 837908363040.
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FAQs on LCM of 672, 665, 568, 461, 802
1. What is the LCM of 672, 665, 568, 461, 802?
Answer: LCM of 672, 665, 568, 461, 802 is 837908363040.
2. How to calculate the LCM of 672, 665, 568, 461, 802?
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, 665, 568, 461, 802.
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}.