LCM of 278, 309, 754, 515, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 309, 754, 515, 709 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 278, 309, 754, 515, 709. So, keep reading to learn more.
Given numbers are 278,309,754,515,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,309,754,515,709 is 114805016430.
Find LCM of 278,309,754,515,709 with Prime Factorization
| 2 | 278, 309, 754, 515, 709 |
| 103 | 139, 309, 377, 515, 709 |
| 139, 3, 377, 5, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 139 x 3 x 377 x 5 x 709 = 114805016430
Therefore, the lowest common multiple of 278,309,754,515,709 is 114805016430.
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.
278 x 309 x 754 x 515 x 709 = 23649833384580
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.
278 : 1, 2, 139, 278
309 : 1, 3, 103, 309
754 : 1, 2, 13, 26, 29, 58, 377, 754
515 : 1, 5, 103, 515
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,309,754,515,709, is 1.
Now, the common factors can be found like this.
278:2x 139
309:3x 103
754:2x 13x 29
515:5x 103
709:709
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 103 = 206
Therefore, the value for common factors is 206.
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 = 23649833384580/(1x206)
LCM = 23649833384580/206
LCM = 114805016430
Thus, we can understand that the LCM of 278,309,754,515,709 is 114805016430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 309, 754, 515, 709
1. What is the LCM of 278, 309, 754, 515, 709?
Answer: LCM of 278, 309, 754, 515, 709 is 114805016430.
2. How to calculate the LCM of 278, 309, 754, 515, 709?
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 278, 309, 754, 515, 709.
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}.