Find the LCM of 972, 523, 199, 995, 769 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 972, 523, 199, 995, 769. So, keep reading to learn more.
Given numbers are 972,523,199,995,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,523,199,995,769 is 388971135180.
Find LCM of 972,523,199,995,769 with Prime Factorization
199 | 972, 523, 199, 995, 769 |
972, 523, 1, 5, 769 |
Multiply the prime numbers at the bottom and the left side.
199 x 972 x 523 x 1 x 5 x 769 = 388971135180
Therefore, the lowest common multiple of 972,523,199,995,769 is 388971135180.
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.
972 x 523 x 199 x 995 x 769 = 77405255900820
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
523 : 1, 523
199 : 1, 199
995 : 1, 5, 199, 995
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,523,199,995,769, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
523:523
199:199
995:5x 199
769:769
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
199 = 199
Therefore, the value for common factors is 199.
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 = 77405255900820/(1x199)
LCM = 77405255900820/199
LCM = 388971135180
Thus, we can understand that the LCM of 972,523,199,995,769 is 388971135180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 523, 199, 995, 769?
Answer: LCM of 972, 523, 199, 995, 769 is 388971135180.
2. How to calculate the LCM of 972, 523, 199, 995, 769?
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 972, 523, 199, 995, 769.
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}.