LCM of 680, 371, 402, 826, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 371, 402, 826, 397 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 680, 371, 402, 826, 397. So, keep reading to learn more.
Given numbers are 680,371,402,826,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,371,402,826,397 is 1187740042440.
Find LCM of 680,371,402,826,397 with Prime Factorization
| 2 | 680, 371, 402, 826, 397 |
| 7 | 340, 371, 201, 413, 397 |
| 340, 53, 201, 59, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 340 x 53 x 201 x 59 x 397 = 1187740042440
Therefore, the lowest common multiple of 680,371,402,826,397 is 1187740042440.
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.
680 x 371 x 402 x 826 x 397 = 33256721188320
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
371 : 1, 7, 53, 371
402 : 1, 2, 3, 6, 67, 134, 201, 402
826 : 1, 2, 7, 14, 59, 118, 413, 826
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,371,402,826,397, is 1.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
371:7x 53
402:2x 3x 67
826:2x 7x 59
397:397
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 7 = 28
Therefore, the value for common factors is 28.
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 = 33256721188320/(1x28)
LCM = 33256721188320/28
LCM = 1187740042440
Thus, we can understand that the LCM of 680,371,402,826,397 is 1187740042440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 680, 371, 402, 826, 397
1. What is the LCM of 680, 371, 402, 826, 397?
Answer: LCM of 680, 371, 402, 826, 397 is 1187740042440.
2. How to calculate the LCM of 680, 371, 402, 826, 397?
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 680, 371, 402, 826, 397.
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}.