LCM of 739, 639, 710, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 639, 710, 990 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 739, 639, 710, 990. So, keep reading to learn more.
Given numbers are 739,639,710,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,639,710,990 is 51944310.
Find LCM of 739,639,710,990 with Prime Factorization
| 2 | 739, 639, 710, 990 |
| 3 | 739, 639, 355, 495 |
| 3 | 739, 213, 355, 165 |
| 5 | 739, 71, 355, 55 |
| 71 | 739, 71, 71, 11 |
| 739, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 71 x 739 x 1 x 1 x 11 = 51944310
Therefore, the lowest common multiple of 739,639,710,990 is 51944310.
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.
739 x 639 x 710 x 990 = 331924140900
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.
739 : 1, 739
639 : 1, 3, 9, 71, 213, 639
710 : 1, 2, 5, 10, 71, 142, 355, 710
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,639,710,990, is 1.
Now, the common factors can be found like this.
739:739
639:3x 3x 71
710:2x 5x 71
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 71 = 6390
Therefore, the value for common factors is 6390.
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 = 331924140900/(1x6390)
LCM = 331924140900/6390
LCM = 51944310
Thus, we can understand that the LCM of 739,639,710,990 is 51944310.
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FAQs on LCM of 739, 639, 710, 990
1. What is the LCM of 739, 639, 710, 990?
Answer: LCM of 739, 639, 710, 990 is 51944310.
2. How to calculate the LCM of 739, 639, 710, 990?
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 739, 639, 710, 990.
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}.