Find the LCM of 532, 755, 690, 348, 942 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, 755, 690, 348, 942. So, keep reading to learn more.
Given numbers are 532,755,690,348,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,755,690,348,942 is 126184300620.
Find LCM of 532,755,690,348,942 with Prime Factorization
2 | 532, 755, 690, 348, 942 |
2 | 266, 755, 345, 174, 471 |
3 | 133, 755, 345, 87, 471 |
5 | 133, 755, 115, 29, 157 |
133, 151, 23, 29, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 133 x 151 x 23 x 29 x 157 = 126184300620
Therefore, the lowest common multiple of 532,755,690,348,942 is 126184300620.
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 755 x 690 x 348 x 942 = 90852696446400
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
755 : 1, 5, 151, 755
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,755,690,348,942, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
755:5x 151
690:2x 3x 5x 23
348:2x 2x 3x 29
942:2x 3x 157
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 5 = 720
Therefore, the value for common factors is 720.
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 = 90852696446400/(1x720)
LCM = 90852696446400/720
LCM = 126184300620
Thus, we can understand that the LCM of 532,755,690,348,942 is 126184300620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 755, 690, 348, 942?
Answer: LCM of 532, 755, 690, 348, 942 is 126184300620.
2. How to calculate the LCM of 532, 755, 690, 348, 942?
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, 755, 690, 348, 942.
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}.