Find the LCM of 655, 527, 930, 426 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 655, 527, 930, 426. So, keep reading to learn more.
Given numbers are 655,527,930,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,527,930,426 is 147048810.
Find LCM of 655,527,930,426 with Prime Factorization
2 | 655, 527, 930, 426 |
3 | 655, 527, 465, 213 |
5 | 655, 527, 155, 71 |
31 | 131, 527, 31, 71 |
131, 17, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 131 x 17 x 1 x 71 = 147048810
Therefore, the lowest common multiple of 655,527,930,426 is 147048810.
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.
655 x 527 x 930 x 426 = 136755393300
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.
655 : 1, 5, 131, 655
527 : 1, 17, 31, 527
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,527,930,426, is 1.
Now, the common factors can be found like this.
655:5x 131
527:17x 31
930:2x 3x 5x 31
426:2x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 31 = 930
Therefore, the value for common factors is 930.
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 = 136755393300/(1x930)
LCM = 136755393300/930
LCM = 147048810
Thus, we can understand that the LCM of 655,527,930,426 is 147048810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 527, 930, 426?
Answer: LCM of 655, 527, 930, 426 is 147048810.
2. How to calculate the LCM of 655, 527, 930, 426?
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 655, 527, 930, 426.
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}.