LCM of 376, 690, 319, 108, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 690, 319, 108, 681 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 376, 690, 319, 108, 681. So, keep reading to learn more.
Given numbers are 376,690,319,108,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,690,319,108,681 is 84540729240.
Find LCM of 376,690,319,108,681 with Prime Factorization
| 2 | 376, 690, 319, 108, 681 |
| 2 | 188, 345, 319, 54, 681 |
| 3 | 94, 345, 319, 27, 681 |
| 94, 115, 319, 9, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 94 x 115 x 319 x 9 x 227 = 84540729240
Therefore, the lowest common multiple of 376,690,319,108,681 is 84540729240.
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.
376 x 690 x 319 x 108 x 681 = 6086932505280
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
319 : 1, 11, 29, 319
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,690,319,108,681, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
690:2x 3x 5x 23
319:11x 29
108:2x 2x 3x 3x 3
681:3x 227
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 6086932505280/(1x72)
LCM = 6086932505280/72
LCM = 84540729240
Thus, we can understand that the LCM of 376,690,319,108,681 is 84540729240.
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FAQs on LCM of 376, 690, 319, 108, 681
1. What is the LCM of 376, 690, 319, 108, 681?
Answer: LCM of 376, 690, 319, 108, 681 is 84540729240.
2. How to calculate the LCM of 376, 690, 319, 108, 681?
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 376, 690, 319, 108, 681.
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}.