LCM of 253, 708, 278, 200, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 708, 278, 200, 414 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 253, 708, 278, 200, 414. So, keep reading to learn more.
Given numbers are 253,708,278,200,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,708,278,200,414 is 3734735400.
Find LCM of 253,708,278,200,414 with Prime Factorization
| 2 | 253, 708, 278, 200, 414 |
| 2 | 253, 354, 139, 100, 207 |
| 3 | 253, 177, 139, 50, 207 |
| 23 | 253, 59, 139, 50, 69 |
| 11, 59, 139, 50, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 11 x 59 x 139 x 50 x 3 = 3734735400
Therefore, the lowest common multiple of 253,708,278,200,414 is 3734735400.
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.
253 x 708 x 278 x 200 x 414 = 4123147881600
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.
253 : 1, 11, 23, 253
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
278 : 1, 2, 139, 278
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,708,278,200,414, is 1.
Now, the common factors can be found like this.
253:11x 23
708:2x 2x 3x 59
278:2x 139
200:2x 2x 2x 5x 5
414:2x 3x 3x 23
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 2x 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 4123147881600/(1x1104)
LCM = 4123147881600/1104
LCM = 3734735400
Thus, we can understand that the LCM of 253,708,278,200,414 is 3734735400.
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FAQs on LCM of 253, 708, 278, 200, 414
1. What is the LCM of 253, 708, 278, 200, 414?
Answer: LCM of 253, 708, 278, 200, 414 is 3734735400.
2. How to calculate the LCM of 253, 708, 278, 200, 414?
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 253, 708, 278, 200, 414.
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}.