LCM of 249, 602, 738, 378, 211
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 249, 602, 738, 378, 211 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 249, 602, 738, 378, 211. So, keep reading to learn more.
Given numbers are 249,602,738,378,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,602,738,378,211 is 11670908382.
Find LCM of 249,602,738,378,211 with Prime Factorization
| 2 | 249, 602, 738, 378, 211 |
| 3 | 249, 301, 369, 189, 211 |
| 3 | 83, 301, 123, 63, 211 |
| 7 | 83, 301, 41, 21, 211 |
| 83, 43, 41, 3, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 83 x 43 x 41 x 3 x 211 = 11670908382
Therefore, the lowest common multiple of 249,602,738,378,211 is 11670908382.
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.
249 x 602 x 738 x 378 x 211 = 8823206736792
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.
249 : 1, 3, 83, 249
602 : 1, 2, 7, 14, 43, 86, 301, 602
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,602,738,378,211, is 1.
Now, the common factors can be found like this.
249:3x 83
602:2x 7x 43
738:2x 3x 3x 41
378:2x 3x 3x 3x 7
211:211
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 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 8823206736792/(1x756)
LCM = 8823206736792/756
LCM = 11670908382
Thus, we can understand that the LCM of 249,602,738,378,211 is 11670908382.
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FAQs on LCM of 249, 602, 738, 378, 211
1. What is the LCM of 249, 602, 738, 378, 211?
Answer: LCM of 249, 602, 738, 378, 211 is 11670908382.
2. How to calculate the LCM of 249, 602, 738, 378, 211?
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 249, 602, 738, 378, 211.
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}.