Find the LCM of 408, 611, 472, 689, 656 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 408, 611, 472, 689, 656. So, keep reading to learn more.
Given numbers are 408,611,472,689,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,611,472,689,656 is 63920933232.
Find LCM of 408,611,472,689,656 with Prime Factorization
2 | 408, 611, 472, 689, 656 |
2 | 204, 611, 236, 689, 328 |
2 | 102, 611, 118, 689, 164 |
13 | 51, 611, 59, 689, 82 |
51, 47, 59, 53, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 51 x 47 x 59 x 53 x 82 = 63920933232
Therefore, the lowest common multiple of 408,611,472,689,656 is 63920933232.
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.
408 x 611 x 472 x 689 x 656 = 53182216449024
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
611 : 1, 13, 47, 611
472 : 1, 2, 4, 8, 59, 118, 236, 472
689 : 1, 13, 53, 689
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,611,472,689,656, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
611:13x 47
472:2x 2x 2x 59
689:13x 53
656:2x 2x 2x 2x 41
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 13 = 832
Therefore, the value for common factors is 832.
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 = 53182216449024/(1x832)
LCM = 53182216449024/832
LCM = 63920933232
Thus, we can understand that the LCM of 408,611,472,689,656 is 63920933232.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 408, 611, 472, 689, 656?
Answer: LCM of 408, 611, 472, 689, 656 is 63920933232.
2. How to calculate the LCM of 408, 611, 472, 689, 656?
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 408, 611, 472, 689, 656.
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}.