Find the LCM of 949, 362, 553, 524, 632 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 949, 362, 553, 524, 632. So, keep reading to learn more.
Given numbers are 949,362,553,524,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,362,553,524,632 is 99547693336.
Find LCM of 949,362,553,524,632 with Prime Factorization
2 | 949, 362, 553, 524, 632 |
2 | 949, 181, 553, 262, 316 |
79 | 949, 181, 553, 131, 158 |
949, 181, 7, 131, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 79 x 949 x 181 x 7 x 131 x 2 = 99547693336
Therefore, the lowest common multiple of 949,362,553,524,632 is 99547693336.
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.
949 x 362 x 553 x 524 x 632 = 62914142188352
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.
949 : 1, 13, 73, 949
362 : 1, 2, 181, 362
553 : 1, 7, 79, 553
524 : 1, 2, 4, 131, 262, 524
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,362,553,524,632, is 1.
Now, the common factors can be found like this.
949:13x 73
362:2x 181
553:7x 79
524:2x 2x 131
632:2x 2x 2x 79
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 79 = 632
Therefore, the value for common factors is 632.
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 = 62914142188352/(1x632)
LCM = 62914142188352/632
LCM = 99547693336
Thus, we can understand that the LCM of 949,362,553,524,632 is 99547693336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 949, 362, 553, 524, 632?
Answer: LCM of 949, 362, 553, 524, 632 is 99547693336.
2. How to calculate the LCM of 949, 362, 553, 524, 632?
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 949, 362, 553, 524, 632.
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}.