LCM of 953, 551, 468, 754, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 551, 468, 754, 154 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 953, 551, 468, 754, 154. So, keep reading to learn more.
Given numbers are 953,551,468,754,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,551,468,754,154 is 18922611708.
Find LCM of 953,551,468,754,154 with Prime Factorization
| 2 | 953, 551, 468, 754, 154 |
| 13 | 953, 551, 234, 377, 77 |
| 29 | 953, 551, 18, 29, 77 |
| 953, 19, 18, 1, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 953 x 19 x 18 x 1 x 77 = 18922611708
Therefore, the lowest common multiple of 953,551,468,754,154 is 18922611708.
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.
953 x 551 x 468 x 754 x 154 = 28535298455664
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.
953 : 1, 953
551 : 1, 19, 29, 551
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
754 : 1, 2, 13, 26, 29, 58, 377, 754
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,551,468,754,154, is 1.
Now, the common factors can be found like this.
953:953
551:19x 29
468:2x 2x 3x 3x 13
754:2x 13x 29
154:2x 7x 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 2x 13x 29 = 1508
Therefore, the value for common factors is 1508.
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 = 28535298455664/(1x1508)
LCM = 28535298455664/1508
LCM = 18922611708
Thus, we can understand that the LCM of 953,551,468,754,154 is 18922611708.
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FAQs on LCM of 953, 551, 468, 754, 154
1. What is the LCM of 953, 551, 468, 754, 154?
Answer: LCM of 953, 551, 468, 754, 154 is 18922611708.
2. How to calculate the LCM of 953, 551, 468, 754, 154?
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 953, 551, 468, 754, 154.
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}.