Find the LCM of 754, 645, 602, 222, 846 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 754, 645, 602, 222, 846. So, keep reading to learn more.
Given numbers are 754,645,602,222,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,645,602,222,846 is 17760285270.
Find LCM of 754,645,602,222,846 with Prime Factorization
2 | 754, 645, 602, 222, 846 |
3 | 377, 645, 301, 111, 423 |
43 | 377, 215, 301, 37, 141 |
377, 5, 7, 37, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 377 x 5 x 7 x 37 x 141 = 17760285270
Therefore, the lowest common multiple of 754,645,602,222,846 is 17760285270.
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.
754 x 645 x 602 x 222 x 846 = 54985843195920
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
645 : 1, 3, 5, 15, 43, 129, 215, 645
602 : 1, 2, 7, 14, 43, 86, 301, 602
222 : 1, 2, 3, 6, 37, 74, 111, 222
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,645,602,222,846, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
645:3x 5x 43
602:2x 7x 43
222:2x 3x 37
846:2x 3x 3x 47
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 3x 43 = 3096
Therefore, the value for common factors is 3096.
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 = 54985843195920/(1x3096)
LCM = 54985843195920/3096
LCM = 17760285270
Thus, we can understand that the LCM of 754,645,602,222,846 is 17760285270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 754, 645, 602, 222, 846?
Answer: LCM of 754, 645, 602, 222, 846 is 17760285270.
2. How to calculate the LCM of 754, 645, 602, 222, 846?
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 754, 645, 602, 222, 846.
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}.