LCM of 730, 634, 705, 951, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 634, 705, 951, 380 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 730, 634, 705, 951, 380. So, keep reading to learn more.
Given numbers are 730,634,705,951,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,634,705,951,380 is 1239894780.
Find LCM of 730,634,705,951,380 with Prime Factorization
| 2 | 730, 634, 705, 951, 380 |
| 3 | 365, 317, 705, 951, 190 |
| 5 | 365, 317, 235, 317, 190 |
| 317 | 73, 317, 47, 317, 38 |
| 73, 1, 47, 1, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 317 x 73 x 1 x 47 x 1 x 38 = 1239894780
Therefore, the lowest common multiple of 730,634,705,951,380 is 1239894780.
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.
730 x 634 x 705 x 951 x 380 = 117913993578000
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
634 : 1, 2, 317, 634
705 : 1, 3, 5, 15, 47, 141, 235, 705
951 : 1, 3, 317, 951
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,634,705,951,380, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
634:2x 317
705:3x 5x 47
951:3x 317
380:2x 2x 5x 19
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 3x 5x 5x 317 = 95100
Therefore, the value for common factors is 95100.
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 = 117913993578000/(1x95100)
LCM = 117913993578000/95100
LCM = 1239894780
Thus, we can understand that the LCM of 730,634,705,951,380 is 1239894780.
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FAQs on LCM of 730, 634, 705, 951, 380
1. What is the LCM of 730, 634, 705, 951, 380?
Answer: LCM of 730, 634, 705, 951, 380 is 1239894780.
2. How to calculate the LCM of 730, 634, 705, 951, 380?
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 730, 634, 705, 951, 380.
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}.