LCM of 353, 658, 706, 918, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 658, 706, 918, 848 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 353, 658, 706, 918, 848. So, keep reading to learn more.
Given numbers are 353,658,706,918,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,658,706,918,848 is 45204236784.
Find LCM of 353,658,706,918,848 with Prime Factorization
| 2 | 353, 658, 706, 918, 848 |
| 353 | 353, 329, 353, 459, 424 |
| 1, 329, 1, 459, 424 |
Multiply the prime numbers at the bottom and the left side.
2 x 353 x 1 x 329 x 1 x 459 x 424 = 45204236784
Therefore, the lowest common multiple of 353,658,706,918,848 is 45204236784.
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.
353 x 658 x 706 x 918 x 848 = 127656764678016
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.
353 : 1, 353
658 : 1, 2, 7, 14, 47, 94, 329, 658
706 : 1, 2, 353, 706
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,658,706,918,848, is 1.
Now, the common factors can be found like this.
353:353
658:2x 7x 47
706:2x 353
918:2x 3x 3x 3x 17
848:2x 2x 2x 2x 53
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 353 = 2824
Therefore, the value for common factors is 2824.
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 = 127656764678016/(1x2824)
LCM = 127656764678016/2824
LCM = 45204236784
Thus, we can understand that the LCM of 353,658,706,918,848 is 45204236784.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 353, 658, 706, 918, 848
1. What is the LCM of 353, 658, 706, 918, 848?
Answer: LCM of 353, 658, 706, 918, 848 is 45204236784.
2. How to calculate the LCM of 353, 658, 706, 918, 848?
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 353, 658, 706, 918, 848.
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}.