Find the LCM of 532, 107, 292, 816, 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 532, 107, 292, 816, 708. So, keep reading to learn more.
Given numbers are 532,107,292,816,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,107,292,816,708 is 50015020272.
Find LCM of 532,107,292,816,708 with Prime Factorization
2 | 532, 107, 292, 816, 708 |
2 | 266, 107, 146, 408, 354 |
3 | 133, 107, 73, 204, 177 |
133, 107, 73, 68, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 133 x 107 x 73 x 68 x 59 = 50015020272
Therefore, the lowest common multiple of 532,107,292,816,708 is 50015020272.
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.
532 x 107 x 292 x 816 x 708 = 9602883892224
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
107 : 1, 107
292 : 1, 2, 4, 73, 146, 292
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 532,107,292,816,708, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
107:107
292:2x 2x 73
816:2x 2x 2x 2x 3x 17
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 9602883892224/(1x192)
LCM = 9602883892224/192
LCM = 50015020272
Thus, we can understand that the LCM of 532,107,292,816,708 is 50015020272.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 107, 292, 816, 708?
Answer: LCM of 532, 107, 292, 816, 708 is 50015020272.
2. How to calculate the LCM of 532, 107, 292, 816, 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 532, 107, 292, 816, 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}.