Find the LCM of 912, 688, 586, 648, 944 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 912, 688, 586, 648, 944. So, keep reading to learn more.
Given numbers are 912,688,586,648,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,688,586,648,944 is 18304028784.
Find LCM of 912,688,586,648,944 with Prime Factorization
2 | 912, 688, 586, 648, 944 |
2 | 456, 344, 293, 324, 472 |
2 | 228, 172, 293, 162, 236 |
2 | 114, 86, 293, 81, 118 |
3 | 57, 43, 293, 81, 59 |
19, 43, 293, 27, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 43 x 293 x 27 x 59 = 18304028784
Therefore, the lowest common multiple of 912,688,586,648,944 is 18304028784.
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.
912 x 688 x 586 x 648 x 944 = 224919905697792
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
586 : 1, 2, 293, 586
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,688,586,648,944, is 2.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
688:2x 2x 2x 2x 43
586:2x 293
648:2x 2x 2x 3x 3x 3x 3
944:2x 2x 2x 2x 59
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 2x 2x 2x 2x 2x 3 = 6144
Therefore, the value for common factors is 6144.
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 = 224919905697792/(2x6144)
LCM = 224919905697792/12288
LCM = 18304028784
Thus, we can understand that the LCM of 912,688,586,648,944 is 18304028784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 912, 688, 586, 648, 944?
Answer: LCM of 912, 688, 586, 648, 944 is 18304028784.
2. How to calculate the LCM of 912, 688, 586, 648, 944?
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 912, 688, 586, 648, 944.
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}.