LCM of 253, 614, 207, 117, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 614, 207, 117, 507 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, 614, 207, 117, 507. So, keep reading to learn more.
Given numbers are 253,614,207,117,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,614,207,117,507 is 236275182.
Find LCM of 253,614,207,117,507 with Prime Factorization
| 3 | 253, 614, 207, 117, 507 |
| 3 | 253, 614, 69, 39, 169 |
| 13 | 253, 614, 23, 13, 169 |
| 23 | 253, 614, 23, 1, 13 |
| 11, 614, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 23 x 11 x 614 x 1 x 1 x 13 = 236275182
Therefore, the lowest common multiple of 253,614,207,117,507 is 236275182.
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 614 x 207 x 117 x 507 = 1907449544286
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
614 : 1, 2, 307, 614
207 : 1, 3, 9, 23, 69, 207
117 : 1, 3, 9, 13, 39, 117
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,614,207,117,507, is 1.
Now, the common factors can be found like this.
253:11x 23
614:2x 307
207:3x 3x 23
117:3x 3x 13
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 13x 23 = 8073
Therefore, the value for common factors is 8073.
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 = 1907449544286/(1x8073)
LCM = 1907449544286/8073
LCM = 236275182
Thus, we can understand that the LCM of 253,614,207,117,507 is 236275182.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 614, 207, 117, 507
1. What is the LCM of 253, 614, 207, 117, 507?
Answer: LCM of 253, 614, 207, 117, 507 is 236275182.
2. How to calculate the LCM of 253, 614, 207, 117, 507?
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, 614, 207, 117, 507.
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}.