LCM of 268, 532, 154, 594, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 532, 154, 594, 807 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 268, 532, 154, 594, 807. So, keep reading to learn more.
Given numbers are 268,532,154,594,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,532,154,594,807 is 2847706092.
Find LCM of 268,532,154,594,807 with Prime Factorization
| 2 | 268, 532, 154, 594, 807 |
| 2 | 134, 266, 77, 297, 807 |
| 3 | 67, 133, 77, 297, 807 |
| 7 | 67, 133, 77, 99, 269 |
| 11 | 67, 19, 11, 99, 269 |
| 67, 19, 1, 9, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 67 x 19 x 1 x 9 x 269 = 2847706092
Therefore, the lowest common multiple of 268,532,154,594,807 is 2847706092.
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.
268 x 532 x 154 x 594 x 807 = 10525121716032
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.
268 : 1, 2, 4, 67, 134, 268
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
154 : 1, 2, 7, 11, 14, 22, 77, 154
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,532,154,594,807, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
532:2x 2x 7x 19
154:2x 7x 11
594:2x 3x 3x 3x 11
807:3x 269
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 3x 7x 11 = 3696
Therefore, the value for common factors is 3696.
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 = 10525121716032/(1x3696)
LCM = 10525121716032/3696
LCM = 2847706092
Thus, we can understand that the LCM of 268,532,154,594,807 is 2847706092.
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FAQs on LCM of 268, 532, 154, 594, 807
1. What is the LCM of 268, 532, 154, 594, 807?
Answer: LCM of 268, 532, 154, 594, 807 is 2847706092.
2. How to calculate the LCM of 268, 532, 154, 594, 807?
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 268, 532, 154, 594, 807.
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}.