LCM of 719, 212, 437, 736, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 212, 437, 736, 770 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 719, 212, 437, 736, 770. So, keep reading to learn more.
Given numbers are 719,212,437,736,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,212,437,736,770 is 205161990880.
Find LCM of 719,212,437,736,770 with Prime Factorization
| 2 | 719, 212, 437, 736, 770 |
| 2 | 719, 106, 437, 368, 385 |
| 23 | 719, 53, 437, 184, 385 |
| 719, 53, 19, 8, 385 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 719 x 53 x 19 x 8 x 385 = 205161990880
Therefore, the lowest common multiple of 719,212,437,736,770 is 205161990880.
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.
719 x 212 x 437 x 736 x 770 = 37749806321920
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.
719 : 1, 719
212 : 1, 2, 4, 53, 106, 212
437 : 1, 19, 23, 437
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,212,437,736,770, is 1.
Now, the common factors can be found like this.
719:719
212:2x 2x 53
437:19x 23
736:2x 2x 2x 2x 2x 23
770:2x 5x 7x 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 2x 2x 23 = 184
Therefore, the value for common factors is 184.
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 = 37749806321920/(1x184)
LCM = 37749806321920/184
LCM = 205161990880
Thus, we can understand that the LCM of 719,212,437,736,770 is 205161990880.
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FAQs on LCM of 719, 212, 437, 736, 770
1. What is the LCM of 719, 212, 437, 736, 770?
Answer: LCM of 719, 212, 437, 736, 770 is 205161990880.
2. How to calculate the LCM of 719, 212, 437, 736, 770?
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 719, 212, 437, 736, 770.
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}.