LCM of 134, 494, 924, 536, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 494, 924, 536, 902 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 134, 494, 924, 536, 902. So, keep reading to learn more.
Given numbers are 134,494,924,536,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,494,924,536,902 is 1253884632.
Find LCM of 134,494,924,536,902 with Prime Factorization
| 2 | 134, 494, 924, 536, 902 |
| 2 | 67, 247, 462, 268, 451 |
| 11 | 67, 247, 231, 134, 451 |
| 67 | 67, 247, 21, 134, 41 |
| 1, 247, 21, 2, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 67 x 1 x 247 x 21 x 2 x 41 = 1253884632
Therefore, the lowest common multiple of 134,494,924,536,902 is 1253884632.
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.
134 x 494 x 924 x 536 x 902 = 29571615161088
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.
134 : 1, 2, 67, 134
494 : 1, 2, 13, 19, 26, 38, 247, 494
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
536 : 1, 2, 4, 8, 67, 134, 268, 536
902 : 1, 2, 11, 22, 41, 82, 451, 902
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,494,924,536,902, is 2.
Now, the common factors can be found like this.
134:2x 67
494:2x 13x 19
924:2x 2x 3x 7x 11
536:2x 2x 2x 67
902:2x 11x 41
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 11x 67 = 11792
Therefore, the value for common factors is 11792.
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 = 29571615161088/(2x11792)
LCM = 29571615161088/23584
LCM = 1253884632
Thus, we can understand that the LCM of 134,494,924,536,902 is 1253884632.
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FAQs on LCM of 134, 494, 924, 536, 902
1. What is the LCM of 134, 494, 924, 536, 902?
Answer: LCM of 134, 494, 924, 536, 902 is 1253884632.
2. How to calculate the LCM of 134, 494, 924, 536, 902?
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 134, 494, 924, 536, 902.
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}.