LCM of 679, 549, 915, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 679, 549, 915, 223 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 679, 549, 915, 223. So, keep reading to learn more.
Given numbers are 679,549,915,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,549,915,223 is 415639665.
Find LCM of 679,549,915,223 with Prime Factorization
| 3 | 679, 549, 915, 223 |
| 61 | 679, 183, 305, 223 |
| 679, 3, 5, 223 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 679 x 3 x 5 x 223 = 415639665
Therefore, the lowest common multiple of 679,549,915,223 is 415639665.
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.
679 x 549 x 915 x 223 = 76062058695
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.
679 : 1, 7, 97, 679
549 : 1, 3, 9, 61, 183, 549
915 : 1, 3, 5, 15, 61, 183, 305, 915
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,549,915,223, is 1.
Now, the common factors can be found like this.
679:7x 97
549:3x 3x 61
915:3x 5x 61
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 61 = 183
Therefore, the value for common factors is 183.
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 = 76062058695/(1x183)
LCM = 76062058695/183
LCM = 415639665
Thus, we can understand that the LCM of 679,549,915,223 is 415639665.
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FAQs on LCM of 679, 549, 915, 223
1. What is the LCM of 679, 549, 915, 223?
Answer: LCM of 679, 549, 915, 223 is 415639665.
2. How to calculate the LCM of 679, 549, 915, 223?
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 679, 549, 915, 223.
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}.