LCM of 733, 689, 780, 770, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 689, 780, 770, 419 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 733, 689, 780, 770, 419. So, keep reading to learn more.
Given numbers are 733,689,780,770,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,689,780,770,419 is 977640523860.
Find LCM of 733,689,780,770,419 with Prime Factorization
| 2 | 733, 689, 780, 770, 419 |
| 5 | 733, 689, 390, 385, 419 |
| 13 | 733, 689, 78, 77, 419 |
| 733, 53, 6, 77, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 733 x 53 x 6 x 77 x 419 = 977640523860
Therefore, the lowest common multiple of 733,689,780,770,419 is 977640523860.
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.
733 x 689 x 780 x 770 x 419 = 127093268101800
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.
733 : 1, 733
689 : 1, 13, 53, 689
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,689,780,770,419, is 1.
Now, the common factors can be found like this.
733:733
689:13x 53
780:2x 2x 3x 5x 13
770:2x 5x 7x 11
419:419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 127093268101800/(1x130)
LCM = 127093268101800/130
LCM = 977640523860
Thus, we can understand that the LCM of 733,689,780,770,419 is 977640523860.
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FAQs on LCM of 733, 689, 780, 770, 419
1. What is the LCM of 733, 689, 780, 770, 419?
Answer: LCM of 733, 689, 780, 770, 419 is 977640523860.
2. How to calculate the LCM of 733, 689, 780, 770, 419?
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 733, 689, 780, 770, 419.
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}.