LCM of 408, 730, 103, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 730, 103, 140 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 408, 730, 103, 140. So, keep reading to learn more.
Given numbers are 408,730,103,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,730,103,140 is 107371320.
Find LCM of 408,730,103,140 with Prime Factorization
| 2 | 408, 730, 103, 140 |
| 2 | 204, 365, 103, 70 |
| 5 | 102, 365, 103, 35 |
| 102, 73, 103, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 102 x 73 x 103 x 7 = 107371320
Therefore, the lowest common multiple of 408,730,103,140 is 107371320.
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.
408 x 730 x 103 x 140 = 4294852800
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
730 : 1, 2, 5, 10, 73, 146, 365, 730
103 : 1, 103
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,730,103,140, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
730:2x 5x 73
103:103
140:2x 2x 5x 7
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 5 = 40
Therefore, the value for common factors is 40.
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 = 4294852800/(1x40)
LCM = 4294852800/40
LCM = 107371320
Thus, we can understand that the LCM of 408,730,103,140 is 107371320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 408, 730, 103, 140
1. What is the LCM of 408, 730, 103, 140?
Answer: LCM of 408, 730, 103, 140 is 107371320.
2. How to calculate the LCM of 408, 730, 103, 140?
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 408, 730, 103, 140.
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}.