Find the LCM of 572, 894, 884, 624, 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 572, 894, 884, 624, 637. So, keep reading to learn more.
Given numbers are 572,894,884,624,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,894,884,624,637 is 851939088.
Find LCM of 572,894,884,624,637 with Prime Factorization
2 | 572, 894, 884, 624, 637 |
2 | 286, 447, 442, 312, 637 |
3 | 143, 447, 221, 156, 637 |
13 | 143, 149, 221, 52, 637 |
11, 149, 17, 4, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 11 x 149 x 17 x 4 x 49 = 851939088
Therefore, the lowest common multiple of 572,894,884,624,637 is 851939088.
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.
572 x 894 x 884 x 624 x 637 = 179684176928256
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
894 : 1, 2, 3, 6, 149, 298, 447, 894
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
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 572,894,884,624,637, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
894:2x 3x 149
884:2x 2x 13x 17
624:2x 2x 2x 2x 3x 13
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 2x 2x 2x 3x 13x 13x 13 = 210912
Therefore, the value for common factors is 210912.
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 = 179684176928256/(1x210912)
LCM = 179684176928256/210912
LCM = 851939088
Thus, we can understand that the LCM of 572,894,884,624,637 is 851939088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 894, 884, 624, 637?
Answer: LCM of 572, 894, 884, 624, 637 is 851939088.
2. How to calculate the LCM of 572, 894, 884, 624, 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 572, 894, 884, 624, 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}.