LCM of 602, 571, 922, 174, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 571, 922, 174, 645 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 602, 571, 922, 174, 645. So, keep reading to learn more.
Given numbers are 602,571,922,174,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,571,922,174,645 is 68932301970.
Find LCM of 602,571,922,174,645 with Prime Factorization
| 2 | 602, 571, 922, 174, 645 |
| 3 | 301, 571, 461, 87, 645 |
| 43 | 301, 571, 461, 29, 215 |
| 7, 571, 461, 29, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 7 x 571 x 461 x 29 x 5 = 68932301970
Therefore, the lowest common multiple of 602,571,922,174,645 is 68932301970.
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.
602 x 571 x 922 x 174 x 645 = 35569067816520
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
571 : 1, 571
922 : 1, 2, 461, 922
174 : 1, 2, 3, 6, 29, 58, 87, 174
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,571,922,174,645, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
571:571
922:2x 461
174:2x 3x 29
645:3x 5x 43
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 43 = 516
Therefore, the value for common factors is 516.
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 = 35569067816520/(1x516)
LCM = 35569067816520/516
LCM = 68932301970
Thus, we can understand that the LCM of 602,571,922,174,645 is 68932301970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 602, 571, 922, 174, 645
1. What is the LCM of 602, 571, 922, 174, 645?
Answer: LCM of 602, 571, 922, 174, 645 is 68932301970.
2. How to calculate the LCM of 602, 571, 922, 174, 645?
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 602, 571, 922, 174, 645.
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}.