LCM of 223, 748, 612, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 748, 612, 418 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, 748, 612, 418. So, keep reading to learn more.
Given numbers are 223,748,612,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,748,612,418 is 28523484.
Find LCM of 223,748,612,418 with Prime Factorization
| 2 | 223, 748, 612, 418 |
| 2 | 223, 374, 306, 209 |
| 11 | 223, 187, 153, 209 |
| 17 | 223, 17, 153, 19 |
| 223, 1, 9, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 223 x 1 x 9 x 19 = 28523484
Therefore, the lowest common multiple of 223,748,612,418 is 28523484.
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 748 x 612 x 418 = 42671132064
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,748,612,418, is 1.
Now, the common factors can be found like this.
223:223
748:2x 2x 11x 17
612:2x 2x 3x 3x 17
418:2x 11x 19
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 11x 17 = 1496
Therefore, the value for common factors is 1496.
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 = 42671132064/(1x1496)
LCM = 42671132064/1496
LCM = 28523484
Thus, we can understand that the LCM of 223,748,612,418 is 28523484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 223, 748, 612, 418
1. What is the LCM of 223, 748, 612, 418?
Answer: LCM of 223, 748, 612, 418 is 28523484.
2. How to calculate the LCM of 223, 748, 612, 418?
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, 748, 612, 418.
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}.