LCM of 253, 208, 408, 968, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 208, 408, 968, 707 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, 208, 408, 968, 707. So, keep reading to learn more.
Given numbers are 253,208,408,968,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,208,408,968,707 is 20872099248.
Find LCM of 253,208,408,968,707 with Prime Factorization
| 2 | 253, 208, 408, 968, 707 |
| 2 | 253, 104, 204, 484, 707 |
| 2 | 253, 52, 102, 242, 707 |
| 11 | 253, 26, 51, 121, 707 |
| 23, 26, 51, 11, 707 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 23 x 26 x 51 x 11 x 707 = 20872099248
Therefore, the lowest common multiple of 253,208,408,968,707 is 20872099248.
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 208 x 408 x 968 x 707 = 14693957870592
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,208,408,968,707, is 1.
Now, the common factors can be found like this.
253:11x 23
208:2x 2x 2x 2x 13
408:2x 2x 2x 3x 17
968:2x 2x 2x 11x 11
707:7x 101
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 2x 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 14693957870592/(1x704)
LCM = 14693957870592/704
LCM = 20872099248
Thus, we can understand that the LCM of 253,208,408,968,707 is 20872099248.
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FAQs on LCM of 253, 208, 408, 968, 707
1. What is the LCM of 253, 208, 408, 968, 707?
Answer: LCM of 253, 208, 408, 968, 707 is 20872099248.
2. How to calculate the LCM of 253, 208, 408, 968, 707?
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, 208, 408, 968, 707.
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}.