LCM of 931, 250, 649, 335, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 931, 250, 649, 335, 931 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 931, 250, 649, 335, 931. So, keep reading to learn more.
Given numbers are 931,250,649,335,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,250,649,335,931 is 10120668250.
Find LCM of 931,250,649,335,931 with Prime Factorization
| 5 | 931, 250, 649, 335, 931 |
| 7 | 931, 50, 649, 67, 931 |
| 7 | 133, 50, 649, 67, 133 |
| 19 | 19, 50, 649, 67, 19 |
| 1, 50, 649, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 7 x 19 x 1 x 50 x 649 x 67 x 1 = 10120668250
Therefore, the lowest common multiple of 931,250,649,335,931 is 10120668250.
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.
931 x 250 x 649 x 335 x 931 = 47111710703750
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.
931 : 1, 7, 19, 49, 133, 931
250 : 1, 2, 5, 10, 25, 50, 125, 250
649 : 1, 11, 59, 649
335 : 1, 5, 67, 335
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,250,649,335,931, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
250:2x 5x 5x 5
649:11x 59
335:5x 67
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7x 19 = 4655
Therefore, the value for common factors is 4655.
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 = 47111710703750/(1x4655)
LCM = 47111710703750/4655
LCM = 10120668250
Thus, we can understand that the LCM of 931,250,649,335,931 is 10120668250.
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FAQs on LCM of 931, 250, 649, 335, 931
1. What is the LCM of 931, 250, 649, 335, 931?
Answer: LCM of 931, 250, 649, 335, 931 is 10120668250.
2. How to calculate the LCM of 931, 250, 649, 335, 931?
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 931, 250, 649, 335, 931.
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}.