LCM of 653, 922, 461, 270, 911
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 922, 461, 270, 911 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 653, 922, 461, 270, 911. So, keep reading to learn more.
Given numbers are 653,922,461,270,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,922,461,270,911 is 74045087010.
Find LCM of 653,922,461,270,911 with Prime Factorization
| 2 | 653, 922, 461, 270, 911 |
| 461 | 653, 461, 461, 135, 911 |
| 653, 1, 1, 135, 911 |
Multiply the prime numbers at the bottom and the left side.
2 x 461 x 653 x 1 x 1 x 135 x 911 = 74045087010
Therefore, the lowest common multiple of 653,922,461,270,911 is 74045087010.
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.
653 x 922 x 461 x 270 x 911 = 68269570223220
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.
653 : 1, 653
922 : 1, 2, 461, 922
461 : 1, 461
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,922,461,270,911, is 1.
Now, the common factors can be found like this.
653:653
922:2x 461
461:461
270:2x 3x 3x 3x 5
911:911
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 461 = 922
Therefore, the value for common factors is 922.
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 = 68269570223220/(1x922)
LCM = 68269570223220/922
LCM = 74045087010
Thus, we can understand that the LCM of 653,922,461,270,911 is 74045087010.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 653, 922, 461, 270, 911
1. What is the LCM of 653, 922, 461, 270, 911?
Answer: LCM of 653, 922, 461, 270, 911 is 74045087010.
2. How to calculate the LCM of 653, 922, 461, 270, 911?
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 653, 922, 461, 270, 911.
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}.