Find the LCM of 342, 604, 774, 456, 971 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 342, 604, 774, 456, 971. So, keep reading to learn more.
Given numbers are 342,604,774,456,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,604,774,456,971 is 8624833704.
Find LCM of 342,604,774,456,971 with Prime Factorization
2 | 342, 604, 774, 456, 971 |
2 | 171, 302, 387, 228, 971 |
3 | 171, 151, 387, 114, 971 |
3 | 57, 151, 129, 38, 971 |
19 | 19, 151, 43, 38, 971 |
1, 151, 43, 2, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 1 x 151 x 43 x 2 x 971 = 8624833704
Therefore, the lowest common multiple of 342,604,774,456,971 is 8624833704.
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.
342 x 604 x 774 x 456 x 971 = 70792635042432
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
604 : 1, 2, 4, 151, 302, 604
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,604,774,456,971, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
604:2x 2x 151
774:2x 3x 3x 43
456:2x 2x 2x 3x 19
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 3x 19 = 8208
Therefore, the value for common factors is 8208.
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 = 70792635042432/(1x8208)
LCM = 70792635042432/8208
LCM = 8624833704
Thus, we can understand that the LCM of 342,604,774,456,971 is 8624833704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 604, 774, 456, 971?
Answer: LCM of 342, 604, 774, 456, 971 is 8624833704.
2. How to calculate the LCM of 342, 604, 774, 456, 971?
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 342, 604, 774, 456, 971.
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}.