LCM of 672, 225, 577, 651, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 225, 577, 651, 987 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, 225, 577, 651, 987. So, keep reading to learn more.
Given numbers are 672,225,577,651,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,225,577,651,987 is 42370725600.
Find LCM of 672,225,577,651,987 with Prime Factorization
| 3 | 672, 225, 577, 651, 987 |
| 7 | 224, 75, 577, 217, 329 |
| 32, 75, 577, 31, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 32 x 75 x 577 x 31 x 47 = 42370725600
Therefore, the lowest common multiple of 672,225,577,651,987 is 42370725600.
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 225 x 577 x 651 x 987 = 56056469968800
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
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
577 : 1, 577
651 : 1, 3, 7, 21, 31, 93, 217, 651
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,225,577,651,987, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
225:3x 3x 5x 5
577:577
651:3x 7x 31
987:3x 7x 47
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 7x 7 = 1323
Therefore, the value for common factors is 1323.
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 = 56056469968800/(1x1323)
LCM = 56056469968800/1323
LCM = 42370725600
Thus, we can understand that the LCM of 672,225,577,651,987 is 42370725600.
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FAQs on LCM of 672, 225, 577, 651, 987
1. What is the LCM of 672, 225, 577, 651, 987?
Answer: LCM of 672, 225, 577, 651, 987 is 42370725600.
2. How to calculate the LCM of 672, 225, 577, 651, 987?
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, 225, 577, 651, 987.
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}.