LCM of 697, 494, 649, 368, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 494, 649, 368, 338 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 697, 494, 649, 368, 338. So, keep reading to learn more.
Given numbers are 697,494,649,368,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,494,649,368,338 is 534522017744.
Find LCM of 697,494,649,368,338 with Prime Factorization
| 2 | 697, 494, 649, 368, 338 |
| 13 | 697, 247, 649, 184, 169 |
| 697, 19, 649, 184, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 697 x 19 x 649 x 184 x 13 = 534522017744
Therefore, the lowest common multiple of 697,494,649,368,338 is 534522017744.
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.
697 x 494 x 649 x 368 x 338 = 27795144922688
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.
697 : 1, 17, 41, 697
494 : 1, 2, 13, 19, 26, 38, 247, 494
649 : 1, 11, 59, 649
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,494,649,368,338, is 1.
Now, the common factors can be found like this.
697:17x 41
494:2x 13x 19
649:11x 59
368:2x 2x 2x 2x 23
338:2x 13x 13
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 13 = 52
Therefore, the value for common factors is 52.
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 = 27795144922688/(1x52)
LCM = 27795144922688/52
LCM = 534522017744
Thus, we can understand that the LCM of 697,494,649,368,338 is 534522017744.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 494, 649, 368, 338
1. What is the LCM of 697, 494, 649, 368, 338?
Answer: LCM of 697, 494, 649, 368, 338 is 534522017744.
2. How to calculate the LCM of 697, 494, 649, 368, 338?
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 697, 494, 649, 368, 338.
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}.