Find the LCM of 703, 972, 873, 708, 336 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 703, 972, 873, 708, 336. So, keep reading to learn more.
Given numbers are 703,972,873,708,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,972,873,708,336 is 109497289104.
Find LCM of 703,972,873,708,336 with Prime Factorization
2 | 703, 972, 873, 708, 336 |
2 | 703, 486, 873, 354, 168 |
3 | 703, 243, 873, 177, 84 |
3 | 703, 81, 291, 59, 28 |
703, 27, 97, 59, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 703 x 27 x 97 x 59 x 28 = 109497289104
Therefore, the lowest common multiple of 703,972,873,708,336 is 109497289104.
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.
703 x 972 x 873 x 708 x 336 = 141908486678784
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.
703 : 1, 19, 37, 703
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
873 : 1, 3, 9, 97, 291, 873
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,972,873,708,336, is 1.
Now, the common factors can be found like this.
703:19x 37
972:2x 2x 3x 3x 3x 3x 3
873:3x 3x 97
708:2x 2x 3x 59
336:2x 2x 2x 2x 3x 7
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 3 = 1296
Therefore, the value for common factors is 1296.
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 = 141908486678784/(1x1296)
LCM = 141908486678784/1296
LCM = 109497289104
Thus, we can understand that the LCM of 703,972,873,708,336 is 109497289104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 703, 972, 873, 708, 336?
Answer: LCM of 703, 972, 873, 708, 336 is 109497289104.
2. How to calculate the LCM of 703, 972, 873, 708, 336?
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 703, 972, 873, 708, 336.
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}.