Find the LCM of 737, 695, 736, 276, 368 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, 695, 736, 276, 368. So, keep reading to learn more.
Given numbers are 737,695,736,276,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,695,736,276,368 is 1130970720.
Find LCM of 737,695,736,276,368 with Prime Factorization
2 | 737, 695, 736, 276, 368 |
2 | 737, 695, 368, 138, 184 |
2 | 737, 695, 92, 69, 184 |
2 | 737, 695, 46, 69, 92 |
23 | 737, 695, 23, 69, 46 |
737, 695, 1, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 737 x 695 x 1 x 3 x 2 = 1130970720
Therefore, the lowest common multiple of 737,695,736,276,368 is 1130970720.
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 695 x 736 x 276 x 368 = 38290144696320
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
695 : 1, 5, 139, 695
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,695,736,276,368, is 1.
Now, the common factors can be found like this.
737:11x 67
695:5x 139
736:2x 2x 2x 2x 2x 23
276:2x 2x 3x 23
368:2x 2x 2x 2x 23
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 2x 2x 23x 23 = 33856
Therefore, the value for common factors is 33856.
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 = 38290144696320/(1x33856)
LCM = 38290144696320/33856
LCM = 1130970720
Thus, we can understand that the LCM of 737,695,736,276,368 is 1130970720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 695, 736, 276, 368?
Answer: LCM of 737, 695, 736, 276, 368 is 1130970720.
2. How to calculate the LCM of 737, 695, 736, 276, 368?
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, 695, 736, 276, 368.
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}.