Find the LCM of 846, 533, 294, 147, 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 846, 533, 294, 147, 620. So, keep reading to learn more.
Given numbers are 846,533,294,147,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,533,294,147,620 is 6849444420.
Find LCM of 846,533,294,147,620 with Prime Factorization
2 | 846, 533, 294, 147, 620 |
3 | 423, 533, 147, 147, 310 |
7 | 141, 533, 49, 49, 310 |
7 | 141, 533, 7, 7, 310 |
141, 533, 1, 1, 310 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 141 x 533 x 1 x 1 x 310 = 6849444420
Therefore, the lowest common multiple of 846,533,294,147,620 is 6849444420.
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 533 x 294 x 147 x 620 = 12082419956880
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
533 : 1, 13, 41, 533
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
147 : 1, 3, 7, 21, 49, 147
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 846,533,294,147,620, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
533:13x 41
294:2x 3x 7x 7
147:3x 7x 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 7x 7 = 1764
Therefore, the value for common factors is 1764.
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 = 12082419956880/(1x1764)
LCM = 12082419956880/1764
LCM = 6849444420
Thus, we can understand that the LCM of 846,533,294,147,620 is 6849444420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 846, 533, 294, 147, 620?
Answer: LCM of 846, 533, 294, 147, 620 is 6849444420.
2. How to calculate the LCM of 846, 533, 294, 147, 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 846, 533, 294, 147, 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}.