LCM of 377, 501, 834, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 501, 834, 659 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 377, 501, 834, 659. So, keep reading to learn more.
Given numbers are 377,501,834,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,501,834,659 is 34602644154.
Find LCM of 377,501,834,659 with Prime Factorization
| 3 | 377, 501, 834, 659 |
| 377, 167, 278, 659 |
Multiply the prime numbers at the bottom and the left side.
3 x 377 x 167 x 278 x 659 = 34602644154
Therefore, the lowest common multiple of 377,501,834,659 is 34602644154.
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.
377 x 501 x 834 x 659 = 103807932462
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.
377 : 1, 13, 29, 377
501 : 1, 3, 167, 501
834 : 1, 2, 3, 6, 139, 278, 417, 834
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,501,834,659, is 1.
Now, the common factors can be found like this.
377:13x 29
501:3x 167
834:2x 3x 139
659:659
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 103807932462/(1x3)
LCM = 103807932462/3
LCM = 34602644154
Thus, we can understand that the LCM of 377,501,834,659 is 34602644154.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 377, 501, 834, 659
1. What is the LCM of 377, 501, 834, 659?
Answer: LCM of 377, 501, 834, 659 is 34602644154.
2. How to calculate the LCM of 377, 501, 834, 659?
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 377, 501, 834, 659.
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}.