Find the LCM of 737, 924, 849, 444 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 737, 924, 849, 444. So, keep reading to learn more.
Given numbers are 737,924,849,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,924,849,444 is 648238668.
Find LCM of 737,924,849,444 with Prime Factorization
2 | 737, 924, 849, 444 |
2 | 737, 462, 849, 222 |
3 | 737, 231, 849, 111 |
11 | 737, 77, 283, 37 |
67, 7, 283, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 67 x 7 x 283 x 37 = 648238668
Therefore, the lowest common multiple of 737,924,849,444 is 648238668.
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.
737 x 924 x 849 x 444 = 256702512528
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.
737 : 1, 11, 67, 737
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
849 : 1, 3, 283, 849
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,924,849,444, is 1.
Now, the common factors can be found like this.
737:11x 67
924:2x 2x 3x 7x 11
849:3x 283
444:2x 2x 3x 37
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 256702512528/(1x396)
LCM = 256702512528/396
LCM = 648238668
Thus, we can understand that the LCM of 737,924,849,444 is 648238668.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 924, 849, 444?
Answer: LCM of 737, 924, 849, 444 is 648238668.
2. How to calculate the LCM of 737, 924, 849, 444?
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 737, 924, 849, 444.
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}.