LCM of 578, 690, 319, 506, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 690, 319, 506, 812 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 578, 690, 319, 506, 812. So, keep reading to learn more.
Given numbers are 578,690,319,506,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,690,319,506,812 is 890565060.
Find LCM of 578,690,319,506,812 with Prime Factorization
| 2 | 578, 690, 319, 506, 812 |
| 11 | 289, 345, 319, 253, 406 |
| 23 | 289, 345, 29, 23, 406 |
| 29 | 289, 15, 29, 1, 406 |
| 289, 15, 1, 1, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 29 x 289 x 15 x 1 x 1 x 14 = 890565060
Therefore, the lowest common multiple of 578,690,319,506,812 is 890565060.
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.
578 x 690 x 319 x 506 x 812 = 52272606761760
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.
578 : 1, 2, 17, 34, 289, 578
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
319 : 1, 11, 29, 319
506 : 1, 2, 11, 22, 23, 46, 253, 506
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,690,319,506,812, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
690:2x 3x 5x 23
319:11x 29
506:2x 11x 23
812:2x 2x 7x 29
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 11x 23x 29 = 58696
Therefore, the value for common factors is 58696.
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 = 52272606761760/(1x58696)
LCM = 52272606761760/58696
LCM = 890565060
Thus, we can understand that the LCM of 578,690,319,506,812 is 890565060.
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FAQs on LCM of 578, 690, 319, 506, 812
1. What is the LCM of 578, 690, 319, 506, 812?
Answer: LCM of 578, 690, 319, 506, 812 is 890565060.
2. How to calculate the LCM of 578, 690, 319, 506, 812?
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 578, 690, 319, 506, 812.
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}.