LCM of 767, 247, 892, 585, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 247, 892, 585, 594 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 767, 247, 892, 585, 594. So, keep reading to learn more.
Given numbers are 767,247,892,585,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,247,892,585,594 is 19303687260.
Find LCM of 767,247,892,585,594 with Prime Factorization
| 2 | 767, 247, 892, 585, 594 |
| 3 | 767, 247, 446, 585, 297 |
| 3 | 767, 247, 446, 195, 99 |
| 13 | 767, 247, 446, 65, 33 |
| 59, 19, 446, 5, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 59 x 19 x 446 x 5 x 33 = 19303687260
Therefore, the lowest common multiple of 767,247,892,585,594 is 19303687260.
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.
767 x 247 x 892 x 585 x 594 = 58721816644920
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.
767 : 1, 13, 59, 767
247 : 1, 13, 19, 247
892 : 1, 2, 4, 223, 446, 892
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,247,892,585,594, is 1.
Now, the common factors can be found like this.
767:13x 59
247:13x 19
892:2x 2x 223
585:3x 3x 5x 13
594:2x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 13 = 3042
Therefore, the value for common factors is 3042.
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 = 58721816644920/(1x3042)
LCM = 58721816644920/3042
LCM = 19303687260
Thus, we can understand that the LCM of 767,247,892,585,594 is 19303687260.
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FAQs on LCM of 767, 247, 892, 585, 594
1. What is the LCM of 767, 247, 892, 585, 594?
Answer: LCM of 767, 247, 892, 585, 594 is 19303687260.
2. How to calculate the LCM of 767, 247, 892, 585, 594?
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 767, 247, 892, 585, 594.
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}.