LCM of 653, 912, 418, 213, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 912, 418, 213, 710 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 653, 912, 418, 213, 710. So, keep reading to learn more.
Given numbers are 653,912,418,213,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,912,418,213,710 is 2325568080.
Find LCM of 653,912,418,213,710 with Prime Factorization
| 2 | 653, 912, 418, 213, 710 |
| 3 | 653, 456, 209, 213, 355 |
| 19 | 653, 152, 209, 71, 355 |
| 71 | 653, 8, 11, 71, 355 |
| 653, 8, 11, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 71 x 653 x 8 x 11 x 1 x 5 = 2325568080
Therefore, the lowest common multiple of 653,912,418,213,710 is 2325568080.
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.
653 x 912 x 418 x 213 x 710 = 37646296079040
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.
653 : 1, 653
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
418 : 1, 2, 11, 19, 22, 38, 209, 418
213 : 1, 3, 71, 213
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,912,418,213,710, is 1.
Now, the common factors can be found like this.
653:653
912:2x 2x 2x 2x 3x 19
418:2x 11x 19
213:3x 71
710:2x 5x 71
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 19x 71 = 16188
Therefore, the value for common factors is 16188.
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 = 37646296079040/(1x16188)
LCM = 37646296079040/16188
LCM = 2325568080
Thus, we can understand that the LCM of 653,912,418,213,710 is 2325568080.
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FAQs on LCM of 653, 912, 418, 213, 710
1. What is the LCM of 653, 912, 418, 213, 710?
Answer: LCM of 653, 912, 418, 213, 710 is 2325568080.
2. How to calculate the LCM of 653, 912, 418, 213, 710?
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 653, 912, 418, 213, 710.
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}.