Find the LCM of 572, 870, 535, 624 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, 870, 535, 624. So, keep reading to learn more.
Given numbers are 572,870,535,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,870,535,624 is 106494960.
Find LCM of 572,870,535,624 with Prime Factorization
2 | 572, 870, 535, 624 |
2 | 286, 435, 535, 312 |
3 | 143, 435, 535, 156 |
5 | 143, 145, 535, 52 |
13 | 143, 29, 107, 52 |
11, 29, 107, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 11 x 29 x 107 x 4 = 106494960
Therefore, the lowest common multiple of 572,870,535,624 is 106494960.
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 870 x 535 x 624 = 166132137600
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
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
535 : 1, 5, 107, 535
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,870,535,624, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
870:2x 3x 5x 29
535:5x 107
624:2x 2x 2x 2x 3x 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 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 166132137600/(1x1560)
LCM = 166132137600/1560
LCM = 106494960
Thus, we can understand that the LCM of 572,870,535,624 is 106494960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 870, 535, 624?
Answer: LCM of 572, 870, 535, 624 is 106494960.
2. How to calculate the LCM of 572, 870, 535, 624?
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, 870, 535, 624.
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}.