LCM of 653, 281, 795, 441, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 281, 795, 441, 210 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, 281, 795, 441, 210. So, keep reading to learn more.
Given numbers are 653,281,795,441,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,281,795,441,210 is 42887818890.
Find LCM of 653,281,795,441,210 with Prime Factorization
| 3 | 653, 281, 795, 441, 210 |
| 5 | 653, 281, 265, 147, 70 |
| 7 | 653, 281, 53, 147, 14 |
| 653, 281, 53, 21, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 653 x 281 x 53 x 21 x 2 = 42887818890
Therefore, the lowest common multiple of 653,281,795,441,210 is 42887818890.
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 281 x 795 x 441 x 210 = 13509662950350
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
281 : 1, 281
795 : 1, 3, 5, 15, 53, 159, 265, 795
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,281,795,441,210, is 1.
Now, the common factors can be found like this.
653:653
281:281
795:3x 5x 53
441:3x 3x 7x 7
210:2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 13509662950350/(1x315)
LCM = 13509662950350/315
LCM = 42887818890
Thus, we can understand that the LCM of 653,281,795,441,210 is 42887818890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 653, 281, 795, 441, 210
1. What is the LCM of 653, 281, 795, 441, 210?
Answer: LCM of 653, 281, 795, 441, 210 is 42887818890.
2. How to calculate the LCM of 653, 281, 795, 441, 210?
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, 281, 795, 441, 210.
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}.