LCM of 964, 202, 757, 209, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 202, 757, 209, 991 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 964, 202, 757, 209, 991. So, keep reading to learn more.
Given numbers are 964,202,757,209,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,202,757,209,991 is 15265612277212.
Find LCM of 964,202,757,209,991 with Prime Factorization
| 2 | 964, 202, 757, 209, 991 |
| 482, 101, 757, 209, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 482 x 101 x 757 x 209 x 991 = 15265612277212
Therefore, the lowest common multiple of 964,202,757,209,991 is 15265612277212.
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.
964 x 202 x 757 x 209 x 991 = 30531224554424
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.
964 : 1, 2, 4, 241, 482, 964
202 : 1, 2, 101, 202
757 : 1, 757
209 : 1, 11, 19, 209
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,202,757,209,991, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
202:2x 101
757:757
209:11x 19
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 30531224554424/(1x2)
LCM = 30531224554424/2
LCM = 15265612277212
Thus, we can understand that the LCM of 964,202,757,209,991 is 15265612277212.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 202, 757, 209, 991
1. What is the LCM of 964, 202, 757, 209, 991?
Answer: LCM of 964, 202, 757, 209, 991 is 15265612277212.
2. How to calculate the LCM of 964, 202, 757, 209, 991?
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 964, 202, 757, 209, 991.
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}.