Find the LCM of 932, 236, 597, 649, 708 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 932, 236, 597, 649, 708. So, keep reading to learn more.
Given numbers are 932,236,597,649,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,236,597,649,708 is 361106196.
Find LCM of 932,236,597,649,708 with Prime Factorization
2 | 932, 236, 597, 649, 708 |
2 | 466, 118, 597, 649, 354 |
3 | 233, 59, 597, 649, 177 |
59 | 233, 59, 199, 649, 59 |
233, 1, 199, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 233 x 1 x 199 x 11 x 1 = 361106196
Therefore, the lowest common multiple of 932,236,597,649,708 is 361106196.
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.
932 x 236 x 597 x 649 x 708 = 60336512077248
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.
932 : 1, 2, 4, 233, 466, 932
236 : 1, 2, 4, 59, 118, 236
597 : 1, 3, 199, 597
649 : 1, 11, 59, 649
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,236,597,649,708, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
236:2x 2x 59
597:3x 199
649:11x 59
708:2x 2x 3x 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 3x 59x 59 = 167088
Therefore, the value for common factors is 167088.
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 = 60336512077248/(1x167088)
LCM = 60336512077248/167088
LCM = 361106196
Thus, we can understand that the LCM of 932,236,597,649,708 is 361106196.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 932, 236, 597, 649, 708?
Answer: LCM of 932, 236, 597, 649, 708 is 361106196.
2. How to calculate the LCM of 932, 236, 597, 649, 708?
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 932, 236, 597, 649, 708.
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}.