LCM of 223, 360, 748, 745, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 360, 748, 745, 514 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 223, 360, 748, 745, 514. So, keep reading to learn more.
Given numbers are 223,360,748,745,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,360,748,745,514 is 574868301480.
Find LCM of 223,360,748,745,514 with Prime Factorization
| 2 | 223, 360, 748, 745, 514 |
| 2 | 223, 180, 374, 745, 257 |
| 5 | 223, 90, 187, 745, 257 |
| 223, 18, 187, 149, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 223 x 18 x 187 x 149 x 257 = 574868301480
Therefore, the lowest common multiple of 223,360,748,745,514 is 574868301480.
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.
223 x 360 x 748 x 745 x 514 = 22994732059200
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.
223 : 1, 223
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
745 : 1, 5, 149, 745
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,360,748,745,514, is 1.
Now, the common factors can be found like this.
223:223
360:2x 2x 2x 3x 3x 5
748:2x 2x 11x 17
745:5x 149
514:2x 257
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 5 = 40
Therefore, the value for common factors is 40.
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 = 22994732059200/(1x40)
LCM = 22994732059200/40
LCM = 574868301480
Thus, we can understand that the LCM of 223,360,748,745,514 is 574868301480.
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FAQs on LCM of 223, 360, 748, 745, 514
1. What is the LCM of 223, 360, 748, 745, 514?
Answer: LCM of 223, 360, 748, 745, 514 is 574868301480.
2. How to calculate the LCM of 223, 360, 748, 745, 514?
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 223, 360, 748, 745, 514.
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}.