LCM of 682, 377, 619, 210, 837
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 377, 619, 210, 837 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 682, 377, 619, 210, 837. So, keep reading to learn more.
Given numbers are 682,377,619,210,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,377,619,210,837 is 150400119870.
Find LCM of 682,377,619,210,837 with Prime Factorization
| 2 | 682, 377, 619, 210, 837 |
| 3 | 341, 377, 619, 105, 837 |
| 31 | 341, 377, 619, 35, 279 |
| 11, 377, 619, 35, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 11 x 377 x 619 x 35 x 9 = 150400119870
Therefore, the lowest common multiple of 682,377,619,210,837 is 150400119870.
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.
682 x 377 x 619 x 210 x 837 = 27974422295820
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
377 : 1, 13, 29, 377
619 : 1, 619
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,377,619,210,837, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
377:13x 29
619:619
210:2x 3x 5x 7
837:3x 3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 31 = 186
Therefore, the value for common factors is 186.
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 = 27974422295820/(1x186)
LCM = 27974422295820/186
LCM = 150400119870
Thus, we can understand that the LCM of 682,377,619,210,837 is 150400119870.
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FAQs on LCM of 682, 377, 619, 210, 837
1. What is the LCM of 682, 377, 619, 210, 837?
Answer: LCM of 682, 377, 619, 210, 837 is 150400119870.
2. How to calculate the LCM of 682, 377, 619, 210, 837?
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 682, 377, 619, 210, 837.
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}.