Find the LCM of 572, 184, 840, 707 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, 184, 840, 707. So, keep reading to learn more.
Given numbers are 572,184,840,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,184,840,707 is 279038760.
Find LCM of 572,184,840,707 with Prime Factorization
2 | 572, 184, 840, 707 |
2 | 286, 92, 420, 707 |
2 | 143, 46, 210, 707 |
7 | 143, 23, 105, 707 |
143, 23, 15, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 143 x 23 x 15 x 101 = 279038760
Therefore, the lowest common multiple of 572,184,840,707 is 279038760.
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 184 x 840 x 707 = 62504682240
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
184 : 1, 2, 4, 8, 23, 46, 92, 184
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,184,840,707, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
184:2x 2x 2x 23
840:2x 2x 2x 3x 5x 7
707:7x 101
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 7 = 224
Therefore, the value for common factors is 224.
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 = 62504682240/(1x224)
LCM = 62504682240/224
LCM = 279038760
Thus, we can understand that the LCM of 572,184,840,707 is 279038760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 184, 840, 707?
Answer: LCM of 572, 184, 840, 707 is 279038760.
2. How to calculate the LCM of 572, 184, 840, 707?
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, 184, 840, 707.
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}.