Find the LCM of 846, 931, 678, 658, 637 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 846, 931, 678, 658, 637. So, keep reading to learn more.
Given numbers are 846,931,678,658,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,931,678,658,637 is 1157022594.
Find LCM of 846,931,678,658,637 with Prime Factorization
2 | 846, 931, 678, 658, 637 |
3 | 423, 931, 339, 329, 637 |
7 | 141, 931, 113, 329, 637 |
7 | 141, 133, 113, 47, 91 |
47 | 141, 19, 113, 47, 13 |
3, 19, 113, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 47 x 3 x 19 x 113 x 1 x 13 = 1157022594
Therefore, the lowest common multiple of 846,931,678,658,637 is 1157022594.
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.
846 x 931 x 678 x 658 x 637 = 223828334854488
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
931 : 1, 7, 19, 49, 133, 931
678 : 1, 2, 3, 6, 113, 226, 339, 678
658 : 1, 2, 7, 14, 47, 94, 329, 658
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,931,678,658,637, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
931:7x 7x 19
678:2x 3x 113
658:2x 7x 47
637:7x 7x 13
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 3x 7x 7x 7x 47 = 193452
Therefore, the value for common factors is 193452.
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 = 223828334854488/(1x193452)
LCM = 223828334854488/193452
LCM = 1157022594
Thus, we can understand that the LCM of 846,931,678,658,637 is 1157022594.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 846, 931, 678, 658, 637?
Answer: LCM of 846, 931, 678, 658, 637 is 1157022594.
2. How to calculate the LCM of 846, 931, 678, 658, 637?
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 846, 931, 678, 658, 637.
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}.