LCM of 453, 493, 221, 756, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 453, 493, 221, 756, 689 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 453, 493, 221, 756, 689. So, keep reading to learn more.
Given numbers are 453,493,221,756,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,493,221,756,689 is 38776167612.
Find LCM of 453,493,221,756,689 with Prime Factorization
| 3 | 453, 493, 221, 756, 689 |
| 13 | 151, 493, 221, 252, 689 |
| 17 | 151, 493, 17, 252, 53 |
| 151, 29, 1, 252, 53 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 151 x 29 x 1 x 252 x 53 = 38776167612
Therefore, the lowest common multiple of 453,493,221,756,689 is 38776167612.
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.
453 x 493 x 221 x 756 x 689 = 25708599126756
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.
453 : 1, 3, 151, 453
493 : 1, 17, 29, 493
221 : 1, 13, 17, 221
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,493,221,756,689, is 1.
Now, the common factors can be found like this.
453:3x 151
493:17x 29
221:13x 17
756:2x 2x 3x 3x 3x 7
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 17 = 663
Therefore, the value for common factors is 663.
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 = 25708599126756/(1x663)
LCM = 25708599126756/663
LCM = 38776167612
Thus, we can understand that the LCM of 453,493,221,756,689 is 38776167612.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 453, 493, 221, 756, 689
1. What is the LCM of 453, 493, 221, 756, 689?
Answer: LCM of 453, 493, 221, 756, 689 is 38776167612.
2. How to calculate the LCM of 453, 493, 221, 756, 689?
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 453, 493, 221, 756, 689.
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}.