LCM of 765, 418, 442, 298, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 418, 442, 298, 630 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 765, 418, 442, 298, 630. So, keep reading to learn more.
Given numbers are 765,418,442,298,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,418,442,298,630 is 4335761430.
Find LCM of 765,418,442,298,630 with Prime Factorization
| 2 | 765, 418, 442, 298, 630 |
| 3 | 765, 209, 221, 149, 315 |
| 3 | 255, 209, 221, 149, 105 |
| 5 | 85, 209, 221, 149, 35 |
| 17 | 17, 209, 221, 149, 7 |
| 1, 209, 13, 149, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 1 x 209 x 13 x 149 x 7 = 4335761430
Therefore, the lowest common multiple of 765,418,442,298,630 is 4335761430.
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.
765 x 418 x 442 x 298 x 630 = 26534859951600
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
418 : 1, 2, 11, 19, 22, 38, 209, 418
442 : 1, 2, 13, 17, 26, 34, 221, 442
298 : 1, 2, 149, 298
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,418,442,298,630, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
418:2x 11x 19
442:2x 13x 17
298:2x 149
630:2x 3x 3x 5x 7
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 3x 5x 17 = 6120
Therefore, the value for common factors is 6120.
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 = 26534859951600/(1x6120)
LCM = 26534859951600/6120
LCM = 4335761430
Thus, we can understand that the LCM of 765,418,442,298,630 is 4335761430.
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FAQs on LCM of 765, 418, 442, 298, 630
1. What is the LCM of 765, 418, 442, 298, 630?
Answer: LCM of 765, 418, 442, 298, 630 is 4335761430.
2. How to calculate the LCM of 765, 418, 442, 298, 630?
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 765, 418, 442, 298, 630.
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}.