LCM of 719, 524, 339, 210, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 524, 339, 210, 103 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, 524, 339, 210, 103. So, keep reading to learn more.
Given numbers are 719,524,339,210,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,524,339,210,103 is 460431623820.
Find LCM of 719,524,339,210,103 with Prime Factorization
| 2 | 719, 524, 339, 210, 103 |
| 3 | 719, 262, 339, 105, 103 |
| 719, 262, 113, 35, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 719 x 262 x 113 x 35 x 103 = 460431623820
Therefore, the lowest common multiple of 719,524,339,210,103 is 460431623820.
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 524 x 339 x 210 x 103 = 2762589742920
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
524 : 1, 2, 4, 131, 262, 524
339 : 1, 3, 113, 339
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,524,339,210,103, is 1.
Now, the common factors can be found like this.
719:719
524:2x 2x 131
339:3x 113
210:2x 3x 5x 7
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 2762589742920/(1x6)
LCM = 2762589742920/6
LCM = 460431623820
Thus, we can understand that the LCM of 719,524,339,210,103 is 460431623820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 719, 524, 339, 210, 103
1. What is the LCM of 719, 524, 339, 210, 103?
Answer: LCM of 719, 524, 339, 210, 103 is 460431623820.
2. How to calculate the LCM of 719, 524, 339, 210, 103?
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, 524, 339, 210, 103.
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}.