Find the LCM of 921, 558, 210, 620 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 921, 558, 210, 620. So, keep reading to learn more.
Given numbers are 921,558,210,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,558,210,620 is 11991420.
Find LCM of 921,558,210,620 with Prime Factorization
2 | 921, 558, 210, 620 |
3 | 921, 279, 105, 310 |
5 | 307, 93, 35, 310 |
31 | 307, 93, 7, 62 |
307, 3, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 307 x 3 x 7 x 2 = 11991420
Therefore, the lowest common multiple of 921,558,210,620 is 11991420.
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.
921 x 558 x 210 x 620 = 66912123600
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.
921 : 1, 3, 307, 921
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,558,210,620, is 1.
Now, the common factors can be found like this.
921:3x 307
558:2x 3x 3x 31
210:2x 3x 5x 7
620:2x 2x 5x 31
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 3x 5x 31 = 5580
Therefore, the value for common factors is 5580.
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 = 66912123600/(1x5580)
LCM = 66912123600/5580
LCM = 11991420
Thus, we can understand that the LCM of 921,558,210,620 is 11991420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 921, 558, 210, 620?
Answer: LCM of 921, 558, 210, 620 is 11991420.
2. How to calculate the LCM of 921, 558, 210, 620?
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 921, 558, 210, 620.
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}.