Find the LCM of 632, 948, 739, 138, 470 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 632, 948, 739, 138, 470. So, keep reading to learn more.
Given numbers are 632,948,739,138,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,948,739,138,470 is 7573183320.
Find LCM of 632,948,739,138,470 with Prime Factorization
2 | 632, 948, 739, 138, 470 |
2 | 316, 474, 739, 69, 235 |
3 | 158, 237, 739, 69, 235 |
79 | 158, 79, 739, 23, 235 |
2, 1, 739, 23, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 2 x 1 x 739 x 23 x 235 = 7573183320
Therefore, the lowest common multiple of 632,948,739,138,470 is 7573183320.
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.
632 x 948 x 739 x 138 x 470 = 28717511149440
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
739 : 1, 739
138 : 1, 2, 3, 6, 23, 46, 69, 138
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,948,739,138,470, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
948:2x 2x 3x 79
739:739
138:2x 3x 23
470:2x 5x 47
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 79 = 3792
Therefore, the value for common factors is 3792.
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 = 28717511149440/(1x3792)
LCM = 28717511149440/3792
LCM = 7573183320
Thus, we can understand that the LCM of 632,948,739,138,470 is 7573183320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 632, 948, 739, 138, 470?
Answer: LCM of 632, 948, 739, 138, 470 is 7573183320.
2. How to calculate the LCM of 632, 948, 739, 138, 470?
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 632, 948, 739, 138, 470.
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}.