LCM of 635, 730, 730, 703, 250
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 730, 730, 703, 250 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 635, 730, 730, 703, 250. So, keep reading to learn more.
Given numbers are 635,730,730,703,250
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,730,730,703,250 is 1629378250.
Find LCM of 635,730,730,703,250 with Prime Factorization
| 2 | 635, 730, 730, 703, 250 |
| 5 | 635, 365, 365, 703, 125 |
| 73 | 127, 73, 73, 703, 25 |
| 127, 1, 1, 703, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 127 x 1 x 1 x 703 x 25 = 1629378250
Therefore, the lowest common multiple of 635,730,730,703,250 is 1629378250.
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.
635 x 730 x 730 x 703 x 250 = 59472306125000
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.
635 : 1, 5, 127, 635
730 : 1, 2, 5, 10, 73, 146, 365, 730
730 : 1, 2, 5, 10, 73, 146, 365, 730
703 : 1, 19, 37, 703
250 : 1, 2, 5, 10, 25, 50, 125, 250
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,730,730,703,250, is 1.
Now, the common factors can be found like this.
635:5x 127
730:2x 5x 73
730:2x 5x 73
703:19x 37
250:2x 5x 5x 5
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 5x 5x 5x 73 = 36500
Therefore, the value for common factors is 36500.
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 = 59472306125000/(1x36500)
LCM = 59472306125000/36500
LCM = 1629378250
Thus, we can understand that the LCM of 635,730,730,703,250 is 1629378250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 635, 730, 730, 703, 250
1. What is the LCM of 635, 730, 730, 703, 250?
Answer: LCM of 635, 730, 730, 703, 250 is 1629378250.
2. How to calculate the LCM of 635, 730, 730, 703, 250?
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 635, 730, 730, 703, 250.
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}.