Find the LCM of 334, 729, 371, 969, 748 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 334, 729, 371, 969, 748. So, keep reading to learn more.
Given numbers are 334,729,371,969,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,729,371,969,748 is 641908472436.
Find LCM of 334,729,371,969,748 with Prime Factorization
2 | 334, 729, 371, 969, 748 |
3 | 167, 729, 371, 969, 374 |
17 | 167, 243, 371, 323, 374 |
167, 243, 371, 19, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 167 x 243 x 371 x 19 x 22 = 641908472436
Therefore, the lowest common multiple of 334,729,371,969,748 is 641908472436.
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.
334 x 729 x 371 x 969 x 748 = 65474664188472
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.
334 : 1, 2, 167, 334
729 : 1, 3, 9, 27, 81, 243, 729
371 : 1, 7, 53, 371
969 : 1, 3, 17, 19, 51, 57, 323, 969
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,729,371,969,748, is 1.
Now, the common factors can be found like this.
334:2x 167
729:3x 3x 3x 3x 3x 3
371:7x 53
969:3x 17x 19
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 65474664188472/(1x102)
LCM = 65474664188472/102
LCM = 641908472436
Thus, we can understand that the LCM of 334,729,371,969,748 is 641908472436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 334, 729, 371, 969, 748?
Answer: LCM of 334, 729, 371, 969, 748 is 641908472436.
2. How to calculate the LCM of 334, 729, 371, 969, 748?
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 334, 729, 371, 969, 748.
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}.