LCM of 543, 854, 154, 918, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 854, 154, 918, 707 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 543, 854, 154, 918, 707. So, keep reading to learn more.
Given numbers are 543,854,154,918,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,854,154,918,707 is 78824856726.
Find LCM of 543,854,154,918,707 with Prime Factorization
| 2 | 543, 854, 154, 918, 707 |
| 3 | 543, 427, 77, 459, 707 |
| 7 | 181, 427, 77, 153, 707 |
| 181, 61, 11, 153, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 181 x 61 x 11 x 153 x 101 = 78824856726
Therefore, the lowest common multiple of 543,854,154,918,707 is 78824856726.
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.
543 x 854 x 154 x 918 x 707 = 46349015754888
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.
543 : 1, 3, 181, 543
854 : 1, 2, 7, 14, 61, 122, 427, 854
154 : 1, 2, 7, 11, 14, 22, 77, 154
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,854,154,918,707, is 1.
Now, the common factors can be found like this.
543:3x 181
854:2x 7x 61
154:2x 7x 11
918:2x 3x 3x 3x 17
707:7x 101
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 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 46349015754888/(1x588)
LCM = 46349015754888/588
LCM = 78824856726
Thus, we can understand that the LCM of 543,854,154,918,707 is 78824856726.
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FAQs on LCM of 543, 854, 154, 918, 707
1. What is the LCM of 543, 854, 154, 918, 707?
Answer: LCM of 543, 854, 154, 918, 707 is 78824856726.
2. How to calculate the LCM of 543, 854, 154, 918, 707?
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 543, 854, 154, 918, 707.
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}.