LCM of 722, 370, 240, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 370, 240, 209 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 722, 370, 240, 209. So, keep reading to learn more.
Given numbers are 722,370,240,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,370,240,209 is 35262480.
Find LCM of 722,370,240,209 with Prime Factorization
| 2 | 722, 370, 240, 209 |
| 5 | 361, 185, 120, 209 |
| 19 | 361, 37, 24, 209 |
| 19, 37, 24, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 19 x 37 x 24 x 11 = 35262480
Therefore, the lowest common multiple of 722,370,240,209 is 35262480.
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.
722 x 370 x 240 x 209 = 13399742400
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.
722 : 1, 2, 19, 38, 361, 722
370 : 1, 2, 5, 10, 37, 74, 185, 370
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,370,240,209, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
370:2x 5x 37
240:2x 2x 2x 2x 3x 5
209:11x 19
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 5x 19 = 380
Therefore, the value for common factors is 380.
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 = 13399742400/(1x380)
LCM = 13399742400/380
LCM = 35262480
Thus, we can understand that the LCM of 722,370,240,209 is 35262480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 370, 240, 209
1. What is the LCM of 722, 370, 240, 209?
Answer: LCM of 722, 370, 240, 209 is 35262480.
2. How to calculate the LCM of 722, 370, 240, 209?
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 722, 370, 240, 209.
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}.