Find the LCM of 635, 889, 965, 377, 972 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 635, 889, 965, 377, 972. So, keep reading to learn more.
Given numbers are 635,889,965,377,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,889,965,377,972 is 314366810940.
Find LCM of 635,889,965,377,972 with Prime Factorization
5 | 635, 889, 965, 377, 972 |
127 | 127, 889, 193, 377, 972 |
1, 7, 193, 377, 972 |
Multiply the prime numbers at the bottom and the left side.
5 x 127 x 1 x 7 x 193 x 377 x 972 = 314366810940
Therefore, the lowest common multiple of 635,889,965,377,972 is 314366810940.
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.
635 x 889 x 965 x 377 x 972 = 199622924946900
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.
635 : 1, 5, 127, 635
889 : 1, 7, 127, 889
965 : 1, 5, 193, 965
377 : 1, 13, 29, 377
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,889,965,377,972, is 1.
Now, the common factors can be found like this.
635:5x 127
889:7x 127
965:5x 193
377:13x 29
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 127 = 635
Therefore, the value for common factors is 635.
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 = 199622924946900/(1x635)
LCM = 199622924946900/635
LCM = 314366810940
Thus, we can understand that the LCM of 635,889,965,377,972 is 314366810940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 889, 965, 377, 972?
Answer: LCM of 635, 889, 965, 377, 972 is 314366810940.
2. How to calculate the LCM of 635, 889, 965, 377, 972?
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 635, 889, 965, 377, 972.
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}.