Find the LCM of 262, 974, 437, 519, 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 262, 974, 437, 519, 620. So, keep reading to learn more.
Given numbers are 262,974,437,519,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,974,437,519,620 is 8970997614420.
Find LCM of 262,974,437,519,620 with Prime Factorization
2 | 262, 974, 437, 519, 620 |
131, 487, 437, 519, 310 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 487 x 437 x 519 x 310 = 8970997614420
Therefore, the lowest common multiple of 262,974,437,519,620 is 8970997614420.
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.
262 x 974 x 437 x 519 x 620 = 35883990457680
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.
262 : 1, 2, 131, 262
974 : 1, 2, 487, 974
437 : 1, 19, 23, 437
519 : 1, 3, 173, 519
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 262,974,437,519,620, is 1.
Now, the common factors can be found like this.
262:2x 131
974:2x 487
437:19x 23
519:3x 173
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 2 = 4
Therefore, the value for common factors is 4.
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 = 35883990457680/(1x4)
LCM = 35883990457680/4
LCM = 8970997614420
Thus, we can understand that the LCM of 262,974,437,519,620 is 8970997614420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 262, 974, 437, 519, 620?
Answer: LCM of 262, 974, 437, 519, 620 is 8970997614420.
2. How to calculate the LCM of 262, 974, 437, 519, 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 262, 974, 437, 519, 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}.