LCM of 627, 265, 722, 689, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 265, 722, 689, 421 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 627, 265, 722, 689, 421. So, keep reading to learn more.
Given numbers are 627,265,722,689,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,265,722,689,421 is 34555919970.
Find LCM of 627,265,722,689,421 with Prime Factorization
| 19 | 627, 265, 722, 689, 421 |
| 53 | 33, 265, 38, 689, 421 |
| 33, 5, 38, 13, 421 |
Multiply the prime numbers at the bottom and the left side.
19 x 53 x 33 x 5 x 38 x 13 x 421 = 34555919970
Therefore, the lowest common multiple of 627,265,722,689,421 is 34555919970.
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.
627 x 265 x 722 x 689 x 421 = 34797811409790
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
265 : 1, 5, 53, 265
722 : 1, 2, 19, 38, 361, 722
689 : 1, 13, 53, 689
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,265,722,689,421, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
265:5x 53
722:2x 19x 19
689:13x 53
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 53 = 1007
Therefore, the value for common factors is 1007.
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 = 34797811409790/(1x1007)
LCM = 34797811409790/1007
LCM = 34555919970
Thus, we can understand that the LCM of 627,265,722,689,421 is 34555919970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 627, 265, 722, 689, 421
1. What is the LCM of 627, 265, 722, 689, 421?
Answer: LCM of 627, 265, 722, 689, 421 is 34555919970.
2. How to calculate the LCM of 627, 265, 722, 689, 421?
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 627, 265, 722, 689, 421.
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}.