Find the LCM of 977, 565, 621, 970, 253 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 977, 565, 621, 970, 253. So, keep reading to learn more.
Given numbers are 977,565,621,970,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,565,621,970,253 is 731524754070.
Find LCM of 977,565,621,970,253 with Prime Factorization
5 | 977, 565, 621, 970, 253 |
23 | 977, 113, 621, 194, 253 |
977, 113, 27, 194, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 977 x 113 x 27 x 194 x 11 = 731524754070
Therefore, the lowest common multiple of 977,565,621,970,253 is 731524754070.
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.
977 x 565 x 621 x 970 x 253 = 84125346718050
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.
977 : 1, 977
565 : 1, 5, 113, 565
621 : 1, 3, 9, 23, 27, 69, 207, 621
970 : 1, 2, 5, 10, 97, 194, 485, 970
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,565,621,970,253, is 1.
Now, the common factors can be found like this.
977:977
565:5x 113
621:3x 3x 3x 23
970:2x 5x 97
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 84125346718050/(1x115)
LCM = 84125346718050/115
LCM = 731524754070
Thus, we can understand that the LCM of 977,565,621,970,253 is 731524754070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 977, 565, 621, 970, 253?
Answer: LCM of 977, 565, 621, 970, 253 is 731524754070.
2. How to calculate the LCM of 977, 565, 621, 970, 253?
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 977, 565, 621, 970, 253.
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}.