LCM of 780, 418, 748, 577, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 418, 748, 577, 668 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 780, 418, 748, 577, 668. So, keep reading to learn more.
Given numbers are 780,418,748,577,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,418,748,577,668 is 267043551060.
Find LCM of 780,418,748,577,668 with Prime Factorization
| 2 | 780, 418, 748, 577, 668 |
| 2 | 390, 209, 374, 577, 334 |
| 11 | 195, 209, 187, 577, 167 |
| 195, 19, 17, 577, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 195 x 19 x 17 x 577 x 167 = 267043551060
Therefore, the lowest common multiple of 780,418,748,577,668 is 267043551060.
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.
780 x 418 x 748 x 577 x 668 = 93999329973120
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
418 : 1, 2, 11, 19, 22, 38, 209, 418
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
577 : 1, 577
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,418,748,577,668, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
418:2x 11x 19
748:2x 2x 11x 17
577:577
668:2x 2x 167
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 11 = 352
Therefore, the value for common factors is 352.
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 = 93999329973120/(1x352)
LCM = 93999329973120/352
LCM = 267043551060
Thus, we can understand that the LCM of 780,418,748,577,668 is 267043551060.
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FAQs on LCM of 780, 418, 748, 577, 668
1. What is the LCM of 780, 418, 748, 577, 668?
Answer: LCM of 780, 418, 748, 577, 668 is 267043551060.
2. How to calculate the LCM of 780, 418, 748, 577, 668?
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 780, 418, 748, 577, 668.
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}.