LCM of 735, 680, 744, 719, 647
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 680, 744, 719, 647 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 735, 680, 744, 719, 647. So, keep reading to learn more.
Given numbers are 735,680,744,719,647
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,680,744,719,647 is 1441521460680.
Find LCM of 735,680,744,719,647 with Prime Factorization
| 2 | 735, 680, 744, 719, 647 |
| 2 | 735, 340, 372, 719, 647 |
| 2 | 735, 170, 186, 719, 647 |
| 3 | 735, 85, 93, 719, 647 |
| 5 | 245, 85, 31, 719, 647 |
| 49, 17, 31, 719, 647 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 49 x 17 x 31 x 719 x 647 = 1441521460680
Therefore, the lowest common multiple of 735,680,744,719,647 is 1441521460680.
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.
735 x 680 x 744 x 719 x 647 = 172982575281600
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
719 : 1, 719
647 : 1, 647
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,680,744,719,647, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
680:2x 2x 2x 5x 17
744:2x 2x 2x 3x 31
719:719
647:647
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 172982575281600/(1x120)
LCM = 172982575281600/120
LCM = 1441521460680
Thus, we can understand that the LCM of 735,680,744,719,647 is 1441521460680.
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FAQs on LCM of 735, 680, 744, 719, 647
1. What is the LCM of 735, 680, 744, 719, 647?
Answer: LCM of 735, 680, 744, 719, 647 is 1441521460680.
2. How to calculate the LCM of 735, 680, 744, 719, 647?
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 735, 680, 744, 719, 647.
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}.