LCM of 672, 133, 473, 607, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 133, 473, 607, 969 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, 133, 473, 607, 969. So, keep reading to learn more.
Given numbers are 672,133,473,607,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,133,473,607,969 is 62319165216.
Find LCM of 672,133,473,607,969 with Prime Factorization
| 3 | 672, 133, 473, 607, 969 |
| 7 | 224, 133, 473, 607, 323 |
| 19 | 32, 19, 473, 607, 323 |
| 32, 1, 473, 607, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 32 x 1 x 473 x 607 x 17 = 62319165216
Therefore, the lowest common multiple of 672,133,473,607,969 is 62319165216.
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 133 x 473 x 607 x 969 = 24865346921184
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
133 : 1, 7, 19, 133
473 : 1, 11, 43, 473
607 : 1, 607
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,133,473,607,969, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
133:7x 19
473:11x 43
607:607
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 19 = 399
Therefore, the value for common factors is 399.
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 = 24865346921184/(1x399)
LCM = 24865346921184/399
LCM = 62319165216
Thus, we can understand that the LCM of 672,133,473,607,969 is 62319165216.
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FAQs on LCM of 672, 133, 473, 607, 969
1. What is the LCM of 672, 133, 473, 607, 969?
Answer: LCM of 672, 133, 473, 607, 969 is 62319165216.
2. How to calculate the LCM of 672, 133, 473, 607, 969?
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, 133, 473, 607, 969.
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}.