LCM of 253, 210, 720, 688, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 210, 720, 688, 407 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, 210, 720, 688, 407. So, keep reading to learn more.
Given numbers are 253,210,720,688,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,210,720,688,407 is 2028715920.
Find LCM of 253,210,720,688,407 with Prime Factorization
| 2 | 253, 210, 720, 688, 407 |
| 2 | 253, 105, 360, 344, 407 |
| 2 | 253, 105, 180, 172, 407 |
| 2 | 253, 105, 90, 86, 407 |
| 3 | 253, 105, 45, 43, 407 |
| 5 | 253, 35, 15, 43, 407 |
| 11 | 253, 7, 3, 43, 407 |
| 23, 7, 3, 43, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 11 x 23 x 7 x 3 x 43 x 37 = 2028715920
Therefore, the lowest common multiple of 253,210,720,688,407 is 2028715920.
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 210 x 720 x 688 x 407 = 10711620057600
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
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,210,720,688,407, is 1.
Now, the common factors can be found like this.
253:11x 23
210:2x 3x 5x 7
720:2x 2x 2x 2x 3x 3x 5
688:2x 2x 2x 2x 43
407:11x 37
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 3x 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 10711620057600/(1x5280)
LCM = 10711620057600/5280
LCM = 2028715920
Thus, we can understand that the LCM of 253,210,720,688,407 is 2028715920.
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FAQs on LCM of 253, 210, 720, 688, 407
1. What is the LCM of 253, 210, 720, 688, 407?
Answer: LCM of 253, 210, 720, 688, 407 is 2028715920.
2. How to calculate the LCM of 253, 210, 720, 688, 407?
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, 210, 720, 688, 407.
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}.