LCM of 403, 530, 624, 106, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 530, 624, 106, 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 403, 530, 624, 106, 708. So, keep reading to learn more.
Given numbers are 403,530,624,106,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,530,624,106,708 is 302443440.
Find LCM of 403,530,624,106,708 with Prime Factorization
| 2 | 403, 530, 624, 106, 708 |
| 2 | 403, 265, 312, 53, 354 |
| 3 | 403, 265, 156, 53, 177 |
| 13 | 403, 265, 52, 53, 59 |
| 53 | 31, 265, 4, 53, 59 |
| 31, 5, 4, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 53 x 31 x 5 x 4 x 1 x 59 = 302443440
Therefore, the lowest common multiple of 403,530,624,106,708 is 302443440.
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.
403 x 530 x 624 x 106 x 708 = 10002409447680
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.
403 : 1, 13, 31, 403
530 : 1, 2, 5, 10, 53, 106, 265, 530
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
106 : 1, 2, 53, 106
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 403,530,624,106,708, is 1.
Now, the common factors can be found like this.
403:13x 31
530:2x 5x 53
624:2x 2x 2x 2x 3x 13
106:2x 53
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 13x 53 = 33072
Therefore, the value for common factors is 33072.
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 = 10002409447680/(1x33072)
LCM = 10002409447680/33072
LCM = 302443440
Thus, we can understand that the LCM of 403,530,624,106,708 is 302443440.
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FAQs on LCM of 403, 530, 624, 106, 708
1. What is the LCM of 403, 530, 624, 106, 708?
Answer: LCM of 403, 530, 624, 106, 708 is 302443440.
2. How to calculate the LCM of 403, 530, 624, 106, 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 403, 530, 624, 106, 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}.